89.49/23.77	YES
90.27/24.01	proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
90.27/24.01	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
90.27/24.01	
90.27/24.01	
90.27/24.01	Termination w.r.t. Q of the given QTRS could be proven:
90.27/24.01	
90.27/24.01	(0) QTRS
90.27/24.01	(1) QTRS Reverse [EQUIVALENT, 0 ms]
90.27/24.01	(2) QTRS
90.27/24.01	(3) FlatCCProof [EQUIVALENT, 0 ms]
90.27/24.01	(4) QTRS
90.27/24.01	(5) RootLabelingProof [EQUIVALENT, 0 ms]
90.27/24.01	(6) QTRS
90.27/24.01	(7) QTRSRRRProof [EQUIVALENT, 1074 ms]
90.27/24.01	(8) QTRS
90.27/24.01	(9) QTRSRRRProof [EQUIVALENT, 147 ms]
90.27/24.01	(10) QTRS
90.27/24.01	(11) QTRSRRRProof [EQUIVALENT, 68 ms]
90.27/24.01	(12) QTRS
90.27/24.01	(13) QTRSRRRProof [EQUIVALENT, 77 ms]
90.27/24.01	(14) QTRS
90.27/24.01	(15) QTRSRRRProof [EQUIVALENT, 52 ms]
90.27/24.01	(16) QTRS
90.27/24.01	(17) QTRSRRRProof [EQUIVALENT, 23 ms]
90.27/24.01	(18) QTRS
90.27/24.01	(19) QTRSRRRProof [EQUIVALENT, 54 ms]
90.27/24.01	(20) QTRS
90.27/24.01	(21) QTRSRRRProof [EQUIVALENT, 55 ms]
90.27/24.01	(22) QTRS
90.27/24.01	(23) QTRSRRRProof [EQUIVALENT, 4 ms]
90.27/24.01	(24) QTRS
90.27/24.01	(25) QTRSRRRProof [EQUIVALENT, 29 ms]
90.27/24.01	(26) QTRS
90.27/24.01	(27) QTRSRRRProof [EQUIVALENT, 4 ms]
90.27/24.01	(28) QTRS
90.27/24.01	(29) QTRSRRRProof [EQUIVALENT, 2 ms]
90.27/24.01	(30) QTRS
90.27/24.01	(31) QTRSRRRProof [EQUIVALENT, 14 ms]
90.27/24.01	(32) QTRS
90.27/24.01	(33) QTRSRRRProof [EQUIVALENT, 0 ms]
90.27/24.01	(34) QTRS
90.27/24.01	(35) QTRSRRRProof [EQUIVALENT, 0 ms]
90.27/24.01	(36) QTRS
90.27/24.01	(37) QTRSRRRProof [EQUIVALENT, 0 ms]
90.27/24.01	(38) QTRS
90.27/24.01	(39) QTRSRRRProof [EQUIVALENT, 0 ms]
90.27/24.01	(40) QTRS
90.27/24.01	(41) RisEmptyProof [EQUIVALENT, 0 ms]
90.27/24.01	(42) YES
90.27/24.01	
90.27/24.01	
90.27/24.01	----------------------------------------
90.27/24.01	
90.27/24.01	(0)
90.27/24.01	Obligation:
90.27/24.01	Q restricted rewrite system:
90.27/24.01	The TRS R consists of the following rules:
90.27/24.01	
90.27/24.01	   0(0(1(0(x1)))) -> 0(2(0(0(3(1(x1))))))
90.27/24.01	   0(0(1(0(x1)))) -> 0(2(0(4(1(0(x1))))))
90.27/24.01	   0(0(1(0(x1)))) -> 2(0(0(0(2(1(x1))))))
90.27/24.01	   3(0(1(0(x1)))) -> 0(2(3(1(0(x1)))))
90.27/24.01	   3(0(1(0(x1)))) -> 3(1(0(0(2(x1)))))
90.27/24.01	   3(0(1(0(x1)))) -> 3(1(1(0(0(x1)))))
90.27/24.01	   3(0(1(0(x1)))) -> 3(1(2(0(0(x1)))))
90.27/24.01	   3(0(1(0(x1)))) -> 3(1(5(0(0(x1)))))
90.27/24.01	   3(0(1(0(x1)))) -> 3(5(1(0(0(x1)))))
90.27/24.01	   3(0(1(0(x1)))) -> 5(0(3(1(0(x1)))))
90.27/24.01	   3(0(1(0(x1)))) -> 2(0(2(3(1(0(x1))))))
90.27/24.01	   3(0(1(0(x1)))) -> 2(2(0(3(1(0(x1))))))
90.27/24.01	   3(0(1(0(x1)))) -> 3(1(5(0(0(0(x1))))))
90.27/24.01	   3(0(1(0(x1)))) -> 3(1(5(0(2(0(x1))))))
90.27/24.01	   3(0(1(0(x1)))) -> 3(1(5(1(0(0(x1))))))
90.27/24.01	   3(0(1(0(x1)))) -> 3(1(5(2(0(0(x1))))))
90.27/24.01	   3(0(1(0(x1)))) -> 3(1(5(5(0(0(x1))))))
90.27/24.01	   3(0(1(0(x1)))) -> 3(2(2(1(0(0(x1))))))
90.27/24.01	   3(0(1(0(x1)))) -> 3(5(1(0(0(2(x1))))))
90.27/24.01	   3(0(1(0(x1)))) -> 3(5(1(5(0(0(x1))))))
90.27/24.01	   3(0(1(0(x1)))) -> 5(1(1(3(0(0(x1))))))
90.27/24.01	   3(4(1(0(x1)))) -> 3(1(2(4(0(x1)))))
90.27/24.01	   3(4(1(0(x1)))) -> 3(1(4(0(2(x1)))))
90.27/24.01	   3(4(1(0(x1)))) -> 3(1(5(4(0(x1)))))
90.27/24.01	   3(4(1(0(x1)))) -> 3(4(2(1(0(x1)))))
90.27/24.01	   3(4(1(0(x1)))) -> 3(1(1(5(4(0(x1))))))
90.27/24.01	   3(4(1(0(x1)))) -> 3(1(2(1(4(0(x1))))))
90.27/24.01	   3(4(1(0(x1)))) -> 3(1(2(5(4(0(x1))))))
90.27/24.01	   3(4(1(0(x1)))) -> 3(1(4(2(0(2(x1))))))
90.27/24.01	   3(4(1(0(x1)))) -> 3(1(5(4(0(2(x1))))))
90.27/24.01	   3(4(1(0(x1)))) -> 3(1(5(5(4(0(x1))))))
90.27/24.01	   3(4(1(0(x1)))) -> 3(4(2(1(1(0(x1))))))
90.27/24.01	   3(4(1(0(x1)))) -> 3(4(5(1(2(0(x1))))))
90.27/24.01	   0(1(4(1(0(x1))))) -> 0(1(1(4(0(2(x1))))))
90.27/24.01	   0(2(0(1(0(x1))))) -> 0(2(0(0(3(1(x1))))))
90.27/24.01	   0(2(0(1(0(x1))))) -> 2(0(0(0(3(1(x1))))))
90.27/24.01	   0(3(0(1(0(x1))))) -> 0(0(3(1(3(0(x1))))))
90.27/24.01	   0(3(0(1(0(x1))))) -> 0(0(3(3(1(0(x1))))))
90.27/24.01	   0(3(0(1(0(x1))))) -> 0(0(3(5(1(0(x1))))))
90.27/24.01	   0(3(0(1(0(x1))))) -> 2(0(0(3(1(0(x1))))))
90.27/24.01	   0(3(4(1(0(x1))))) -> 0(2(0(4(3(1(x1))))))
90.27/24.01	   0(5(0(1(0(x1))))) -> 0(0(0(1(5(2(x1))))))
90.27/24.01	   0(5(0(1(0(x1))))) -> 0(0(1(5(1(0(x1))))))
90.27/24.01	   0(5(0(1(0(x1))))) -> 0(2(0(0(1(5(x1))))))
90.27/24.01	   3(0(1(0(0(x1))))) -> 3(1(3(0(0(0(x1))))))
90.27/24.01	   3(0(1(1(0(x1))))) -> 3(1(0(1(2(0(x1))))))
90.27/24.01	   3(0(2(1(0(x1))))) -> 2(0(3(1(1(0(x1))))))
90.27/24.01	   3(0(2(1(0(x1))))) -> 2(3(1(5(0(0(x1))))))
90.27/24.01	   3(0(2(1(0(x1))))) -> 3(1(2(0(1(0(x1))))))
90.27/24.01	   3(0(2(1(0(x1))))) -> 3(1(2(0(5(0(x1))))))
90.27/24.01	   3(0(5(1(0(x1))))) -> 3(1(5(2(0(0(x1))))))
90.27/24.01	   3(1(0(1(0(x1))))) -> 2(0(3(1(1(0(x1))))))
90.27/24.01	   3(1(0(1(0(x1))))) -> 3(1(1(1(0(0(x1))))))
90.27/24.01	   3(1(0(1(0(x1))))) -> 3(1(2(1(0(0(x1))))))
90.27/24.01	   3(1(4(1(0(x1))))) -> 3(1(2(1(4(0(x1))))))
90.27/24.01	   3(1(4(1(0(x1))))) -> 3(1(5(1(4(0(x1))))))
90.27/24.01	   3(2(0(1(0(x1))))) -> 0(2(3(1(5(0(x1))))))
90.27/24.01	   3(2(0(1(0(x1))))) -> 2(0(3(1(1(0(x1))))))
90.27/24.01	   3(3(0(1(0(x1))))) -> 3(1(2(0(3(0(x1))))))
90.27/24.01	   3(3(0(1(0(x1))))) -> 3(1(2(3(0(0(x1))))))
90.27/24.01	   3(3(4(1(0(x1))))) -> 3(1(2(4(3(0(x1))))))
90.27/24.01	   3(3(4(1(0(x1))))) -> 3(1(3(4(0(2(x1))))))
90.27/24.01	   3(3(4(1(0(x1))))) -> 3(1(4(3(1(0(x1))))))
90.27/24.01	   3(4(0(1(0(x1))))) -> 0(2(4(1(3(0(x1))))))
90.27/24.01	   3(4(0(1(0(x1))))) -> 3(1(4(0(0(2(x1))))))
90.27/24.01	   3(4(0(1(0(x1))))) -> 3(2(0(4(1(0(x1))))))
90.27/24.01	   3(4(4(1(0(x1))))) -> 3(1(1(4(4(0(x1))))))
90.27/24.01	
90.27/24.01	Q is empty.
90.27/24.01	
90.27/24.01	----------------------------------------
90.27/24.01	
90.27/24.01	(1) QTRS Reverse (EQUIVALENT)
90.27/24.01	We applied the QTRS Reverse Processor [REVERSE].
90.27/24.01	----------------------------------------
90.27/24.01	
90.27/24.01	(2)
90.27/24.01	Obligation:
90.27/24.01	Q restricted rewrite system:
90.27/24.01	The TRS R consists of the following rules:
90.27/24.01	
90.27/24.01	   0(1(0(0(x1)))) -> 1(3(0(0(2(0(x1))))))
90.27/24.01	   0(1(0(0(x1)))) -> 0(1(4(0(2(0(x1))))))
90.27/24.01	   0(1(0(0(x1)))) -> 1(2(0(0(0(2(x1))))))
90.27/24.01	   0(1(0(3(x1)))) -> 0(1(3(2(0(x1)))))
90.27/24.01	   0(1(0(3(x1)))) -> 2(0(0(1(3(x1)))))
90.27/24.01	   0(1(0(3(x1)))) -> 0(0(1(1(3(x1)))))
90.27/24.01	   0(1(0(3(x1)))) -> 0(0(2(1(3(x1)))))
90.27/24.01	   0(1(0(3(x1)))) -> 0(0(5(1(3(x1)))))
90.27/24.01	   0(1(0(3(x1)))) -> 0(0(1(5(3(x1)))))
90.27/24.01	   0(1(0(3(x1)))) -> 0(1(3(0(5(x1)))))
90.27/24.01	   0(1(0(3(x1)))) -> 0(1(3(2(0(2(x1))))))
90.27/24.01	   0(1(0(3(x1)))) -> 0(1(3(0(2(2(x1))))))
90.27/24.01	   0(1(0(3(x1)))) -> 0(0(0(5(1(3(x1))))))
90.27/24.01	   0(1(0(3(x1)))) -> 0(2(0(5(1(3(x1))))))
90.27/24.01	   0(1(0(3(x1)))) -> 0(0(1(5(1(3(x1))))))
90.27/24.01	   0(1(0(3(x1)))) -> 0(0(2(5(1(3(x1))))))
90.27/24.01	   0(1(0(3(x1)))) -> 0(0(5(5(1(3(x1))))))
90.27/24.01	   0(1(0(3(x1)))) -> 0(0(1(2(2(3(x1))))))
90.27/24.01	   0(1(0(3(x1)))) -> 2(0(0(1(5(3(x1))))))
90.27/24.01	   0(1(0(3(x1)))) -> 0(0(5(1(5(3(x1))))))
90.27/24.01	   0(1(0(3(x1)))) -> 0(0(3(1(1(5(x1))))))
90.27/24.01	   0(1(4(3(x1)))) -> 0(4(2(1(3(x1)))))
90.27/24.01	   0(1(4(3(x1)))) -> 2(0(4(1(3(x1)))))
90.27/24.01	   0(1(4(3(x1)))) -> 0(4(5(1(3(x1)))))
90.27/24.01	   0(1(4(3(x1)))) -> 0(1(2(4(3(x1)))))
90.27/24.01	   0(1(4(3(x1)))) -> 0(4(5(1(1(3(x1))))))
90.27/24.01	   0(1(4(3(x1)))) -> 0(4(1(2(1(3(x1))))))
90.27/24.01	   0(1(4(3(x1)))) -> 0(4(5(2(1(3(x1))))))
90.27/24.01	   0(1(4(3(x1)))) -> 2(0(2(4(1(3(x1))))))
90.27/24.01	   0(1(4(3(x1)))) -> 2(0(4(5(1(3(x1))))))
90.27/24.01	   0(1(4(3(x1)))) -> 0(4(5(5(1(3(x1))))))
90.27/24.01	   0(1(4(3(x1)))) -> 0(1(1(2(4(3(x1))))))
90.27/24.01	   0(1(4(3(x1)))) -> 0(2(1(5(4(3(x1))))))
90.27/24.01	   0(1(4(1(0(x1))))) -> 2(0(4(1(1(0(x1))))))
90.27/24.01	   0(1(0(2(0(x1))))) -> 1(3(0(0(2(0(x1))))))
90.27/24.01	   0(1(0(2(0(x1))))) -> 1(3(0(0(0(2(x1))))))
90.27/24.01	   0(1(0(3(0(x1))))) -> 0(3(1(3(0(0(x1))))))
90.27/24.01	   0(1(0(3(0(x1))))) -> 0(1(3(3(0(0(x1))))))
90.27/24.01	   0(1(0(3(0(x1))))) -> 0(1(5(3(0(0(x1))))))
90.27/24.01	   0(1(0(3(0(x1))))) -> 0(1(3(0(0(2(x1))))))
90.27/24.01	   0(1(4(3(0(x1))))) -> 1(3(4(0(2(0(x1))))))
90.27/24.01	   0(1(0(5(0(x1))))) -> 2(5(1(0(0(0(x1))))))
90.27/24.01	   0(1(0(5(0(x1))))) -> 0(1(5(1(0(0(x1))))))
90.27/24.01	   0(1(0(5(0(x1))))) -> 5(1(0(0(2(0(x1))))))
90.27/24.01	   0(0(1(0(3(x1))))) -> 0(0(0(3(1(3(x1))))))
90.27/24.01	   0(1(1(0(3(x1))))) -> 0(2(1(0(1(3(x1))))))
90.27/24.01	   0(1(2(0(3(x1))))) -> 0(1(1(3(0(2(x1))))))
90.27/24.01	   0(1(2(0(3(x1))))) -> 0(0(5(1(3(2(x1))))))
90.27/24.01	   0(1(2(0(3(x1))))) -> 0(1(0(2(1(3(x1))))))
90.27/24.01	   0(1(2(0(3(x1))))) -> 0(5(0(2(1(3(x1))))))
90.27/24.01	   0(1(5(0(3(x1))))) -> 0(0(2(5(1(3(x1))))))
90.27/24.01	   0(1(0(1(3(x1))))) -> 0(1(1(3(0(2(x1))))))
90.27/24.01	   0(1(0(1(3(x1))))) -> 0(0(1(1(1(3(x1))))))
90.27/24.01	   0(1(0(1(3(x1))))) -> 0(0(1(2(1(3(x1))))))
90.27/24.01	   0(1(4(1(3(x1))))) -> 0(4(1(2(1(3(x1))))))
90.27/24.01	   0(1(4(1(3(x1))))) -> 0(4(1(5(1(3(x1))))))
90.27/24.01	   0(1(0(2(3(x1))))) -> 0(5(1(3(2(0(x1))))))
90.27/24.01	   0(1(0(2(3(x1))))) -> 0(1(1(3(0(2(x1))))))
90.27/24.01	   0(1(0(3(3(x1))))) -> 0(3(0(2(1(3(x1))))))
90.27/24.01	   0(1(0(3(3(x1))))) -> 0(0(3(2(1(3(x1))))))
90.27/24.01	   0(1(4(3(3(x1))))) -> 0(3(4(2(1(3(x1))))))
90.27/24.01	   0(1(4(3(3(x1))))) -> 2(0(4(3(1(3(x1))))))
90.27/24.01	   0(1(4(3(3(x1))))) -> 0(1(3(4(1(3(x1))))))
90.27/24.01	   0(1(0(4(3(x1))))) -> 0(3(1(4(2(0(x1))))))
90.27/24.01	   0(1(0(4(3(x1))))) -> 2(0(0(4(1(3(x1))))))
90.27/24.01	   0(1(0(4(3(x1))))) -> 0(1(4(0(2(3(x1))))))
90.27/24.01	   0(1(4(4(3(x1))))) -> 0(4(4(1(1(3(x1))))))
90.27/24.01	
90.27/24.01	Q is empty.
90.27/24.01	
90.27/24.01	----------------------------------------
90.27/24.01	
90.27/24.01	(3) FlatCCProof (EQUIVALENT)
90.27/24.01	We used flat context closure [ROOTLAB]
90.27/24.01	As Q is empty the flat context closure was sound AND complete.
90.27/24.01	
90.27/24.01	----------------------------------------
90.27/24.01	
90.27/24.01	(4)
90.27/24.01	Obligation:
90.27/24.01	Q restricted rewrite system:
90.27/24.01	The TRS R consists of the following rules:
90.27/24.01	
90.27/24.01	   0(1(0(0(x1)))) -> 0(1(4(0(2(0(x1))))))
90.27/24.01	   0(1(0(3(x1)))) -> 0(1(3(2(0(x1)))))
90.27/24.01	   0(1(0(3(x1)))) -> 0(0(1(1(3(x1)))))
90.27/24.01	   0(1(0(3(x1)))) -> 0(0(2(1(3(x1)))))
90.27/24.01	   0(1(0(3(x1)))) -> 0(0(5(1(3(x1)))))
90.27/24.01	   0(1(0(3(x1)))) -> 0(0(1(5(3(x1)))))
90.27/24.01	   0(1(0(3(x1)))) -> 0(1(3(0(5(x1)))))
90.27/24.01	   0(1(0(3(x1)))) -> 0(1(3(2(0(2(x1))))))
90.27/24.01	   0(1(0(3(x1)))) -> 0(1(3(0(2(2(x1))))))
90.27/24.01	   0(1(0(3(x1)))) -> 0(0(0(5(1(3(x1))))))
90.27/24.01	   0(1(0(3(x1)))) -> 0(2(0(5(1(3(x1))))))
90.27/24.01	   0(1(0(3(x1)))) -> 0(0(1(5(1(3(x1))))))
90.27/24.01	   0(1(0(3(x1)))) -> 0(0(2(5(1(3(x1))))))
90.27/24.01	   0(1(0(3(x1)))) -> 0(0(5(5(1(3(x1))))))
90.27/24.01	   0(1(0(3(x1)))) -> 0(0(1(2(2(3(x1))))))
90.27/24.01	   0(1(0(3(x1)))) -> 0(0(5(1(5(3(x1))))))
90.27/24.01	   0(1(0(3(x1)))) -> 0(0(3(1(1(5(x1))))))
90.27/24.01	   0(1(4(3(x1)))) -> 0(4(2(1(3(x1)))))
90.27/24.01	   0(1(4(3(x1)))) -> 0(4(5(1(3(x1)))))
90.27/24.01	   0(1(4(3(x1)))) -> 0(1(2(4(3(x1)))))
90.27/24.01	   0(1(4(3(x1)))) -> 0(4(5(1(1(3(x1))))))
90.27/24.01	   0(1(4(3(x1)))) -> 0(4(1(2(1(3(x1))))))
90.27/24.01	   0(1(4(3(x1)))) -> 0(4(5(2(1(3(x1))))))
90.27/24.01	   0(1(4(3(x1)))) -> 0(4(5(5(1(3(x1))))))
90.27/24.01	   0(1(4(3(x1)))) -> 0(1(1(2(4(3(x1))))))
90.27/24.01	   0(1(4(3(x1)))) -> 0(2(1(5(4(3(x1))))))
90.27/24.01	   0(1(0(3(0(x1))))) -> 0(3(1(3(0(0(x1))))))
90.27/24.01	   0(1(0(3(0(x1))))) -> 0(1(3(3(0(0(x1))))))
90.27/24.01	   0(1(0(3(0(x1))))) -> 0(1(5(3(0(0(x1))))))
90.27/24.01	   0(1(0(3(0(x1))))) -> 0(1(3(0(0(2(x1))))))
90.27/24.01	   0(1(0(5(0(x1))))) -> 0(1(5(1(0(0(x1))))))
90.27/24.01	   0(0(1(0(3(x1))))) -> 0(0(0(3(1(3(x1))))))
90.27/24.01	   0(1(1(0(3(x1))))) -> 0(2(1(0(1(3(x1))))))
90.27/24.01	   0(1(2(0(3(x1))))) -> 0(1(1(3(0(2(x1))))))
90.27/24.01	   0(1(2(0(3(x1))))) -> 0(0(5(1(3(2(x1))))))
90.27/24.01	   0(1(2(0(3(x1))))) -> 0(1(0(2(1(3(x1))))))
90.27/24.01	   0(1(2(0(3(x1))))) -> 0(5(0(2(1(3(x1))))))
90.27/24.01	   0(1(5(0(3(x1))))) -> 0(0(2(5(1(3(x1))))))
90.27/24.01	   0(1(0(1(3(x1))))) -> 0(1(1(3(0(2(x1))))))
90.27/24.01	   0(1(0(1(3(x1))))) -> 0(0(1(1(1(3(x1))))))
90.27/24.01	   0(1(0(1(3(x1))))) -> 0(0(1(2(1(3(x1))))))
90.27/24.01	   0(1(4(1(3(x1))))) -> 0(4(1(2(1(3(x1))))))
90.27/24.01	   0(1(4(1(3(x1))))) -> 0(4(1(5(1(3(x1))))))
90.27/24.01	   0(1(0(2(3(x1))))) -> 0(5(1(3(2(0(x1))))))
90.27/24.01	   0(1(0(2(3(x1))))) -> 0(1(1(3(0(2(x1))))))
90.27/24.01	   0(1(0(3(3(x1))))) -> 0(3(0(2(1(3(x1))))))
90.27/24.01	   0(1(0(3(3(x1))))) -> 0(0(3(2(1(3(x1))))))
90.27/24.01	   0(1(4(3(3(x1))))) -> 0(3(4(2(1(3(x1))))))
90.27/24.01	   0(1(4(3(3(x1))))) -> 0(1(3(4(1(3(x1))))))
90.27/24.01	   0(1(0(4(3(x1))))) -> 0(3(1(4(2(0(x1))))))
90.27/24.01	   0(1(0(4(3(x1))))) -> 0(1(4(0(2(3(x1))))))
90.27/24.01	   0(1(4(4(3(x1))))) -> 0(4(4(1(1(3(x1))))))
90.27/24.01	   0(0(1(0(0(x1))))) -> 0(1(3(0(0(2(0(x1)))))))
90.27/24.01	   1(0(1(0(0(x1))))) -> 1(1(3(0(0(2(0(x1)))))))
90.27/24.01	   3(0(1(0(0(x1))))) -> 3(1(3(0(0(2(0(x1)))))))
90.27/24.01	   2(0(1(0(0(x1))))) -> 2(1(3(0(0(2(0(x1)))))))
90.27/24.01	   4(0(1(0(0(x1))))) -> 4(1(3(0(0(2(0(x1)))))))
90.27/24.01	   5(0(1(0(0(x1))))) -> 5(1(3(0(0(2(0(x1)))))))
90.27/24.01	   0(0(1(0(0(x1))))) -> 0(1(2(0(0(0(2(x1)))))))
90.27/24.01	   1(0(1(0(0(x1))))) -> 1(1(2(0(0(0(2(x1)))))))
90.27/24.01	   3(0(1(0(0(x1))))) -> 3(1(2(0(0(0(2(x1)))))))
90.27/24.01	   2(0(1(0(0(x1))))) -> 2(1(2(0(0(0(2(x1)))))))
90.27/24.01	   4(0(1(0(0(x1))))) -> 4(1(2(0(0(0(2(x1)))))))
90.27/24.01	   5(0(1(0(0(x1))))) -> 5(1(2(0(0(0(2(x1)))))))
90.27/24.01	   0(0(1(0(3(x1))))) -> 0(2(0(0(1(3(x1))))))
90.27/24.01	   1(0(1(0(3(x1))))) -> 1(2(0(0(1(3(x1))))))
90.27/24.01	   3(0(1(0(3(x1))))) -> 3(2(0(0(1(3(x1))))))
90.27/24.01	   2(0(1(0(3(x1))))) -> 2(2(0(0(1(3(x1))))))
90.27/24.01	   4(0(1(0(3(x1))))) -> 4(2(0(0(1(3(x1))))))
90.27/24.01	   5(0(1(0(3(x1))))) -> 5(2(0(0(1(3(x1))))))
90.27/24.01	   0(0(1(0(3(x1))))) -> 0(2(0(0(1(5(3(x1)))))))
90.27/24.01	   1(0(1(0(3(x1))))) -> 1(2(0(0(1(5(3(x1)))))))
90.27/24.01	   3(0(1(0(3(x1))))) -> 3(2(0(0(1(5(3(x1)))))))
90.27/24.01	   2(0(1(0(3(x1))))) -> 2(2(0(0(1(5(3(x1)))))))
90.27/24.01	   4(0(1(0(3(x1))))) -> 4(2(0(0(1(5(3(x1)))))))
90.27/24.01	   5(0(1(0(3(x1))))) -> 5(2(0(0(1(5(3(x1)))))))
90.27/24.01	   0(0(1(4(3(x1))))) -> 0(2(0(4(1(3(x1))))))
90.27/24.01	   1(0(1(4(3(x1))))) -> 1(2(0(4(1(3(x1))))))
90.27/24.01	   3(0(1(4(3(x1))))) -> 3(2(0(4(1(3(x1))))))
90.27/24.01	   2(0(1(4(3(x1))))) -> 2(2(0(4(1(3(x1))))))
90.27/24.01	   4(0(1(4(3(x1))))) -> 4(2(0(4(1(3(x1))))))
90.27/24.01	   5(0(1(4(3(x1))))) -> 5(2(0(4(1(3(x1))))))
90.27/24.01	   0(0(1(4(3(x1))))) -> 0(2(0(2(4(1(3(x1)))))))
90.27/24.01	   1(0(1(4(3(x1))))) -> 1(2(0(2(4(1(3(x1)))))))
90.27/24.01	   3(0(1(4(3(x1))))) -> 3(2(0(2(4(1(3(x1)))))))
90.27/24.01	   2(0(1(4(3(x1))))) -> 2(2(0(2(4(1(3(x1)))))))
90.27/24.01	   4(0(1(4(3(x1))))) -> 4(2(0(2(4(1(3(x1)))))))
90.27/24.01	   5(0(1(4(3(x1))))) -> 5(2(0(2(4(1(3(x1)))))))
90.27/24.01	   0(0(1(4(3(x1))))) -> 0(2(0(4(5(1(3(x1)))))))
90.27/24.01	   1(0(1(4(3(x1))))) -> 1(2(0(4(5(1(3(x1)))))))
90.27/24.01	   3(0(1(4(3(x1))))) -> 3(2(0(4(5(1(3(x1)))))))
90.27/24.01	   2(0(1(4(3(x1))))) -> 2(2(0(4(5(1(3(x1)))))))
90.27/24.01	   4(0(1(4(3(x1))))) -> 4(2(0(4(5(1(3(x1)))))))
90.27/24.01	   5(0(1(4(3(x1))))) -> 5(2(0(4(5(1(3(x1)))))))
90.27/24.01	   0(0(1(4(1(0(x1)))))) -> 0(2(0(4(1(1(0(x1)))))))
90.27/24.01	   1(0(1(4(1(0(x1)))))) -> 1(2(0(4(1(1(0(x1)))))))
90.27/24.01	   3(0(1(4(1(0(x1)))))) -> 3(2(0(4(1(1(0(x1)))))))
90.27/24.01	   2(0(1(4(1(0(x1)))))) -> 2(2(0(4(1(1(0(x1)))))))
90.27/24.01	   4(0(1(4(1(0(x1)))))) -> 4(2(0(4(1(1(0(x1)))))))
90.27/24.01	   5(0(1(4(1(0(x1)))))) -> 5(2(0(4(1(1(0(x1)))))))
90.27/24.01	   0(0(1(0(2(0(x1)))))) -> 0(1(3(0(0(2(0(x1)))))))
90.27/24.01	   1(0(1(0(2(0(x1)))))) -> 1(1(3(0(0(2(0(x1)))))))
90.27/24.01	   3(0(1(0(2(0(x1)))))) -> 3(1(3(0(0(2(0(x1)))))))
90.27/24.01	   2(0(1(0(2(0(x1)))))) -> 2(1(3(0(0(2(0(x1)))))))
90.27/24.01	   4(0(1(0(2(0(x1)))))) -> 4(1(3(0(0(2(0(x1)))))))
90.27/24.01	   5(0(1(0(2(0(x1)))))) -> 5(1(3(0(0(2(0(x1)))))))
90.27/24.01	   0(0(1(0(2(0(x1)))))) -> 0(1(3(0(0(0(2(x1)))))))
90.27/24.01	   1(0(1(0(2(0(x1)))))) -> 1(1(3(0(0(0(2(x1)))))))
90.27/24.01	   3(0(1(0(2(0(x1)))))) -> 3(1(3(0(0(0(2(x1)))))))
90.27/24.01	   2(0(1(0(2(0(x1)))))) -> 2(1(3(0(0(0(2(x1)))))))
90.27/24.01	   4(0(1(0(2(0(x1)))))) -> 4(1(3(0(0(0(2(x1)))))))
90.27/24.01	   5(0(1(0(2(0(x1)))))) -> 5(1(3(0(0(0(2(x1)))))))
90.27/24.01	   0(0(1(4(3(0(x1)))))) -> 0(1(3(4(0(2(0(x1)))))))
90.27/24.01	   1(0(1(4(3(0(x1)))))) -> 1(1(3(4(0(2(0(x1)))))))
90.27/24.01	   3(0(1(4(3(0(x1)))))) -> 3(1(3(4(0(2(0(x1)))))))
90.27/24.01	   2(0(1(4(3(0(x1)))))) -> 2(1(3(4(0(2(0(x1)))))))
90.27/24.01	   4(0(1(4(3(0(x1)))))) -> 4(1(3(4(0(2(0(x1)))))))
90.27/24.01	   5(0(1(4(3(0(x1)))))) -> 5(1(3(4(0(2(0(x1)))))))
90.27/24.01	   0(0(1(0(5(0(x1)))))) -> 0(2(5(1(0(0(0(x1)))))))
90.27/24.01	   1(0(1(0(5(0(x1)))))) -> 1(2(5(1(0(0(0(x1)))))))
90.27/24.01	   3(0(1(0(5(0(x1)))))) -> 3(2(5(1(0(0(0(x1)))))))
90.27/24.01	   2(0(1(0(5(0(x1)))))) -> 2(2(5(1(0(0(0(x1)))))))
90.27/24.01	   4(0(1(0(5(0(x1)))))) -> 4(2(5(1(0(0(0(x1)))))))
90.27/24.01	   5(0(1(0(5(0(x1)))))) -> 5(2(5(1(0(0(0(x1)))))))
90.27/24.01	   0(0(1(0(5(0(x1)))))) -> 0(5(1(0(0(2(0(x1)))))))
90.27/24.01	   1(0(1(0(5(0(x1)))))) -> 1(5(1(0(0(2(0(x1)))))))
90.27/24.01	   3(0(1(0(5(0(x1)))))) -> 3(5(1(0(0(2(0(x1)))))))
90.27/24.01	   2(0(1(0(5(0(x1)))))) -> 2(5(1(0(0(2(0(x1)))))))
90.27/24.01	   4(0(1(0(5(0(x1)))))) -> 4(5(1(0(0(2(0(x1)))))))
90.27/24.01	   5(0(1(0(5(0(x1)))))) -> 5(5(1(0(0(2(0(x1)))))))
90.27/24.01	   0(0(1(4(3(3(x1)))))) -> 0(2(0(4(3(1(3(x1)))))))
90.27/24.01	   1(0(1(4(3(3(x1)))))) -> 1(2(0(4(3(1(3(x1)))))))
90.27/24.01	   3(0(1(4(3(3(x1)))))) -> 3(2(0(4(3(1(3(x1)))))))
90.27/24.01	   2(0(1(4(3(3(x1)))))) -> 2(2(0(4(3(1(3(x1)))))))
90.27/24.01	   4(0(1(4(3(3(x1)))))) -> 4(2(0(4(3(1(3(x1)))))))
90.27/24.01	   5(0(1(4(3(3(x1)))))) -> 5(2(0(4(3(1(3(x1)))))))
90.27/24.01	   0(0(1(0(4(3(x1)))))) -> 0(2(0(0(4(1(3(x1)))))))
90.27/24.01	   1(0(1(0(4(3(x1)))))) -> 1(2(0(0(4(1(3(x1)))))))
90.27/24.01	   3(0(1(0(4(3(x1)))))) -> 3(2(0(0(4(1(3(x1)))))))
90.27/24.01	   2(0(1(0(4(3(x1)))))) -> 2(2(0(0(4(1(3(x1)))))))
90.27/24.01	   4(0(1(0(4(3(x1)))))) -> 4(2(0(0(4(1(3(x1)))))))
90.27/24.01	   5(0(1(0(4(3(x1)))))) -> 5(2(0(0(4(1(3(x1)))))))
90.27/24.01	
90.27/24.01	Q is empty.
90.27/24.01	
90.27/24.01	----------------------------------------
90.27/24.01	
90.27/24.01	(5) RootLabelingProof (EQUIVALENT)
90.27/24.01	We used plain root labeling [ROOTLAB] with the following heuristic:
90.27/24.01	LabelAll: All function symbols get labeled
90.27/24.01	
90.27/24.01	As Q is empty the root labeling was sound AND complete.
90.27/24.01	
90.27/24.01	----------------------------------------
90.27/24.01	
90.27/24.01	(6)
90.27/24.01	Obligation:
90.27/24.01	Q restricted rewrite system:
90.27/24.01	The TRS R consists of the following rules:
90.27/24.01	
90.27/24.01	   0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1)))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1)))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{0_1}(0_{4_1}(x1)))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1)))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(x1)))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{0_1}(0_{5_1}(x1)))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(x1)))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(x1)))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(x1)))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{1_1}(1_{3_1}(3_{0_1}(x1)))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{1_1}(1_{3_1}(3_{1_1}(x1)))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{1_1}(1_{3_1}(3_{4_1}(x1)))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{1_1}(1_{3_1}(3_{2_1}(x1)))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{1_1}(1_{3_1}(3_{3_1}(x1)))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{1_1}(1_{3_1}(3_{5_1}(x1)))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))) -> 0_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(x1)))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))) -> 0_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(x1)))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))) -> 0_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(x1)))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))) -> 0_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(x1)))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))) -> 0_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{3_1}(x1)))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))) -> 0_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(x1)))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(x1)))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{1_1}(x1)))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(x1)))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(x1)))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(x1)))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(x1)))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1)))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1)))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1)))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1)))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1)))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1)))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{0_1}(x1)))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{1_1}(x1)))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{4_1}(x1)))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{2_1}(x1)))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{3_1}(x1)))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(x1)))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{3_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{5_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))) -> 0_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))) -> 0_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))) -> 0_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))) -> 0_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))) -> 0_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))) -> 0_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))) -> 0_{0_1}(0_{2_1}(2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))) -> 0_{0_1}(0_{2_1}(2_{5_1}(5_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))) -> 0_{0_1}(0_{2_1}(2_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))) -> 0_{0_1}(0_{2_1}(2_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))) -> 0_{0_1}(0_{2_1}(2_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))) -> 0_{0_1}(0_{2_1}(2_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{1_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{3_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))) -> 0_{0_1}(0_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))) -> 0_{0_1}(0_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))) -> 0_{0_1}(0_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))) -> 0_{0_1}(0_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))) -> 0_{0_1}(0_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))) -> 0_{0_1}(0_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1)))) -> 0_{4_1}(4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(x1)))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1)))) -> 0_{4_1}(4_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(x1)))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1)))) -> 0_{4_1}(4_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(x1)))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1)))) -> 0_{4_1}(4_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(x1)))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1)))) -> 0_{4_1}(4_{2_1}(2_{1_1}(1_{3_1}(3_{3_1}(x1)))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1)))) -> 0_{4_1}(4_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(x1)))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(x1)))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{1_1}(x1)))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(x1)))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(x1)))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(x1)))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(x1)))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1)))) -> 0_{1_1}(1_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1)))) -> 0_{1_1}(1_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1)))) -> 0_{1_1}(1_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1)))) -> 0_{1_1}(1_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1)))) -> 0_{1_1}(1_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1)))) -> 0_{1_1}(1_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1)))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1)))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1)))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1)))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1)))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1)))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1)))) -> 0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{0_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1)))) -> 0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{1_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1)))) -> 0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1)))) -> 0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1)))) -> 0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{3_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1)))) -> 0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{5_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{1_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{4_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{3_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{5_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 0_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 0_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(0_{1_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 0_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(0_{4_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 0_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 0_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(0_{3_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 0_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(0_{5_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(0_{1_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(0_{4_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(0_{3_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(0_{5_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{4_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{5_1}(x1))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 0_{0_1}(0_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 0_{0_1}(0_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 0_{0_1}(0_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 0_{0_1}(0_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 0_{0_1}(0_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 0_{0_1}(0_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 0_{1_1}(1_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{0_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 0_{1_1}(1_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 0_{1_1}(1_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 0_{1_1}(1_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 0_{1_1}(1_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{3_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 0_{1_1}(1_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(2_{4_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(2_{2_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(2_{5_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 0_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 0_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 0_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 0_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 0_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 0_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 0_{0_1}(0_{2_1}(2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 0_{0_1}(0_{2_1}(2_{5_1}(5_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 0_{0_1}(0_{2_1}(2_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 0_{0_1}(0_{2_1}(2_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 0_{0_1}(0_{2_1}(2_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 0_{0_1}(0_{2_1}(2_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(x1))))) -> 0_{1_1}(1_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{0_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(x1))))) -> 0_{1_1}(1_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(x1))))) -> 0_{1_1}(1_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(3_{2_1}(x1))))) -> 0_{1_1}(1_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(3_{3_1}(x1))))) -> 0_{1_1}(1_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{3_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(3_{5_1}(x1))))) -> 0_{1_1}(1_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(x1))))) -> 0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(x1))))) -> 0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(x1))))) -> 0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(3_{2_1}(x1))))) -> 0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(3_{3_1}(x1))))) -> 0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(3_{5_1}(x1))))) -> 0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(x1))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(x1))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(x1))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(3_{2_1}(x1))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(3_{3_1}(x1))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(3_{5_1}(x1))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))) -> 0_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))) -> 0_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))) -> 0_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))) -> 0_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))) -> 0_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))) -> 0_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(x1))))) -> 0_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(x1))))) -> 0_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{4_1}(x1))))) -> 0_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(x1))))) -> 0_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{3_1}(x1))))) -> 0_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{5_1}(x1))))) -> 0_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(x1))))) -> 0_{1_1}(1_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{0_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(x1))))) -> 0_{1_1}(1_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{4_1}(x1))))) -> 0_{1_1}(1_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(x1))))) -> 0_{1_1}(1_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{3_1}(x1))))) -> 0_{1_1}(1_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{3_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{5_1}(x1))))) -> 0_{1_1}(1_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(3_{0_1}(x1))))) -> 0_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(3_{1_1}(x1))))) -> 0_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(x1))))) -> 0_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(3_{2_1}(x1))))) -> 0_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(3_{3_1}(x1))))) -> 0_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(3_{5_1}(x1))))) -> 0_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(3_{0_1}(x1))))) -> 0_{0_1}(0_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(3_{1_1}(x1))))) -> 0_{0_1}(0_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(x1))))) -> 0_{0_1}(0_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(3_{2_1}(x1))))) -> 0_{0_1}(0_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(3_{3_1}(x1))))) -> 0_{0_1}(0_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(3_{5_1}(x1))))) -> 0_{0_1}(0_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{0_1}(x1))))) -> 0_{3_1}(3_{4_1}(4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(x1))))) -> 0_{3_1}(3_{4_1}(4_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(x1))))) -> 0_{3_1}(3_{4_1}(4_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{2_1}(x1))))) -> 0_{3_1}(3_{4_1}(4_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(x1))))) -> 0_{3_1}(3_{4_1}(4_{2_1}(2_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{5_1}(x1))))) -> 0_{3_1}(3_{4_1}(4_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{0_1}(x1))))) -> 0_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(x1))))) -> 0_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(x1))))) -> 0_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{2_1}(x1))))) -> 0_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(x1))))) -> 0_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{5_1}(x1))))) -> 0_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{4_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{3_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{5_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 0_{4_1}(4_{4_1}(4_{1_1}(1_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 0_{4_1}(4_{4_1}(4_{1_1}(1_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 0_{4_1}(4_{4_1}(4_{1_1}(1_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 0_{4_1}(4_{4_1}(4_{1_1}(1_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 0_{4_1}(4_{4_1}(4_{1_1}(1_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.27/24.01	   0_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 0_{4_1}(4_{4_1}(4_{1_1}(1_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{4_1}(x1))))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(x1))))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{5_1}(x1))))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 1_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 1_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{4_1}(x1))))) -> 1_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 1_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(x1))))) -> 1_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{5_1}(x1))))) -> 1_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.27/24.01	   3_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 3_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.27/24.01	   3_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 3_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.27/24.01	   3_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{4_1}(x1))))) -> 3_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.27/24.01	   3_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 3_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.27/24.01	   3_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(x1))))) -> 3_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.27/24.01	   3_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{5_1}(x1))))) -> 3_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.27/24.01	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.27/24.01	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.27/24.01	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{4_1}(x1))))) -> 2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.27/24.01	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.27/24.01	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(x1))))) -> 2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.27/24.01	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{5_1}(x1))))) -> 2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.27/24.01	   4_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.27/24.01	   4_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.27/24.01	   4_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{4_1}(x1))))) -> 4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.27/24.01	   4_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.27/24.01	   4_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(x1))))) -> 4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.27/24.01	   4_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{5_1}(x1))))) -> 4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.27/24.01	   5_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 5_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.27/24.01	   5_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 5_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.27/24.01	   5_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{4_1}(x1))))) -> 5_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.27/24.01	   5_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 5_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.27/24.01	   5_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(x1))))) -> 5_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.27/24.01	   5_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{5_1}(x1))))) -> 5_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{4_1}(x1))))) -> 0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(x1))))) -> 0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{5_1}(x1))))) -> 0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{4_1}(x1))))) -> 1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(x1))))) -> 1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{5_1}(x1))))) -> 1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
90.27/24.01	   3_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 3_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
90.27/24.01	   3_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 3_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
90.27/24.01	   3_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{4_1}(x1))))) -> 3_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
90.27/24.01	   3_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 3_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
90.27/24.01	   3_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(x1))))) -> 3_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
90.27/24.01	   3_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{5_1}(x1))))) -> 3_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
90.27/24.01	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
90.27/24.01	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
90.27/24.01	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{4_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
90.27/24.01	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
90.27/24.01	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
90.27/24.01	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{5_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
90.27/24.01	   4_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
90.27/24.01	   4_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
90.27/24.01	   4_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{4_1}(x1))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
90.27/24.01	   4_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
90.27/24.01	   4_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(x1))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
90.27/24.01	   4_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{5_1}(x1))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
90.27/24.01	   5_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 5_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
90.27/24.01	   5_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 5_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
90.27/24.01	   5_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{4_1}(x1))))) -> 5_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
90.27/24.01	   5_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 5_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
90.27/24.01	   5_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(x1))))) -> 5_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
90.27/24.01	   5_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{5_1}(x1))))) -> 5_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.27/24.01	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.27/24.01	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.27/24.01	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.27/24.01	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.27/24.01	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.27/24.01	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.27/24.01	   2_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.27/24.01	   2_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.27/24.01	   2_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.27/24.01	   2_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.27/24.01	   2_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.27/24.01	   2_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.27/24.01	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.27/24.01	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.27/24.01	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.27/24.01	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.27/24.01	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.27/24.01	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.27/24.01	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.27/24.01	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.27/24.01	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.27/24.01	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.27/24.01	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.27/24.01	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
90.27/24.01	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
90.27/24.01	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
90.27/24.01	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
90.27/24.01	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
90.27/24.01	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
90.27/24.01	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
90.27/24.01	   2_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
90.27/24.01	   2_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
90.27/24.01	   2_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
90.27/24.01	   2_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
90.27/24.01	   2_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
90.27/24.01	   2_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
90.27/24.01	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
90.27/24.01	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
90.27/24.01	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
90.27/24.01	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
90.27/24.01	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
90.27/24.01	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
90.27/24.01	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
90.27/24.01	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
90.27/24.01	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
90.27/24.01	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
90.27/24.01	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
90.27/24.01	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.27/24.01	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.27/24.01	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.27/24.01	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.27/24.01	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.27/24.01	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.27/24.01	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.27/24.01	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.27/24.01	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.27/24.01	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.27/24.01	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.27/24.01	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.27/24.01	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.27/24.01	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.27/24.01	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.27/24.01	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.27/24.01	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.27/24.01	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.27/24.01	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.27/24.01	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.27/24.01	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.27/24.01	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.27/24.01	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.27/24.01	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.27/24.01	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.27/24.01	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.27/24.01	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.27/24.01	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.27/24.01	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.27/24.01	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.27/24.01	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.27/24.01	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.27/24.01	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.27/24.01	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.27/24.01	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.27/24.01	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.27/24.01	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.27/24.01	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.27/24.01	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.27/24.01	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.27/24.01	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.27/24.01	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.27/24.01	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.27/24.01	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.27/24.01	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.27/24.01	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.27/24.01	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.27/24.01	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.27/24.01	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.27/24.01	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.27/24.01	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.27/24.01	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.27/24.01	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.27/24.01	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.27/24.01	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.27/24.01	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.27/24.01	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.27/24.01	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.27/24.01	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.27/24.01	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.27/24.01	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.27/24.01	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.27/24.01	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.27/24.01	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.27/24.01	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.27/24.01	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.27/24.01	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.27/24.01	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.27/24.01	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.27/24.01	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.27/24.01	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.27/24.01	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.27/24.01	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(x1)))))) -> 0_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x1)))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(x1)))))) -> 0_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x1)))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(x1)))))) -> 0_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(x1)))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(x1)))))) -> 0_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x1)))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(x1)))))) -> 0_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(x1)))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{5_1}(x1)))))) -> 0_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(x1)))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(x1)))))) -> 1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x1)))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(x1)))))) -> 1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x1)))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(x1)))))) -> 1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(x1)))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(x1)))))) -> 1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x1)))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(x1)))))) -> 1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(x1)))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{5_1}(x1)))))) -> 1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(x1)))))))
90.27/24.01	   3_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x1)))))))
90.27/24.01	   3_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x1)))))))
90.27/24.01	   3_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(x1)))))))
90.27/24.01	   3_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x1)))))))
90.27/24.01	   3_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(x1)))))))
90.27/24.01	   3_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{5_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(x1)))))))
90.27/24.01	   2_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(x1)))))) -> 2_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x1)))))))
90.27/24.01	   2_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(x1)))))) -> 2_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x1)))))))
90.27/24.01	   2_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(x1)))))) -> 2_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(x1)))))))
90.27/24.01	   2_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(x1)))))) -> 2_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x1)))))))
90.27/24.01	   2_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(x1)))))) -> 2_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(x1)))))))
90.27/24.01	   2_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{5_1}(x1)))))) -> 2_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(x1)))))))
90.27/24.01	   4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x1)))))))
90.27/24.01	   4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x1)))))))
90.27/24.01	   4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(x1)))))))
90.27/24.01	   4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x1)))))))
90.27/24.01	   4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(x1)))))))
90.27/24.01	   4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{5_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(x1)))))))
90.27/24.01	   5_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x1)))))))
90.27/24.01	   5_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x1)))))))
90.27/24.01	   5_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(x1)))))))
90.27/24.01	   5_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x1)))))))
90.27/24.01	   5_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(x1)))))))
90.27/24.01	   5_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{5_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(x1)))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 1_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))) -> 1_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))) -> 1_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 1_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))) -> 1_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 1_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.27/24.01	   3_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 3_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.27/24.01	   3_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))) -> 3_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.27/24.01	   3_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))) -> 3_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.27/24.01	   3_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 3_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.27/24.01	   3_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))) -> 3_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.27/24.01	   3_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 3_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.27/24.01	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.27/24.01	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))) -> 2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.27/24.01	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))) -> 2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.27/24.01	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.27/24.01	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))) -> 2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.27/24.01	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.27/24.01	   4_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.27/24.01	   4_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))) -> 4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.27/24.01	   4_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))) -> 4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.27/24.01	   4_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.27/24.01	   4_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))) -> 4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.27/24.01	   4_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.27/24.01	   5_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 5_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.27/24.01	   5_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))) -> 5_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.27/24.01	   5_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))) -> 5_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.27/24.01	   5_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 5_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.27/24.01	   5_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))) -> 5_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.27/24.01	   5_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 5_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
90.27/24.01	   0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 1_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))) -> 1_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))) -> 1_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 1_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))) -> 1_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
90.27/24.01	   1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 1_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
90.27/24.01	   3_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 3_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
90.27/24.01	   3_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))) -> 3_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
90.27/24.02	   3_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))) -> 3_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
90.27/24.02	   3_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 3_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
90.27/24.02	   3_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))) -> 3_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
90.27/24.02	   3_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 3_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
90.27/24.02	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
90.27/24.02	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))) -> 2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
90.27/24.02	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))) -> 2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
90.27/24.02	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
90.27/24.02	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))) -> 2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
90.27/24.02	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
90.27/24.02	   4_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
90.27/24.02	   4_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))) -> 4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
90.27/24.02	   4_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))) -> 4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
90.27/24.02	   4_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
90.27/24.02	   4_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))) -> 4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
90.27/24.02	   4_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
90.27/24.02	   5_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 5_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
90.27/24.02	   5_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))) -> 5_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
90.27/24.02	   5_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))) -> 5_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
90.27/24.02	   5_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 5_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
90.27/24.02	   5_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))) -> 5_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
90.27/24.02	   5_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 5_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
90.27/24.02	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1)))))) -> 0_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.27/24.02	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1)))))) -> 0_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.27/24.02	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1)))))) -> 0_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.27/24.02	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1)))))) -> 0_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.27/24.02	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1)))))) -> 0_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.27/24.02	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1)))))) -> 0_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.27/24.02	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1)))))) -> 1_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.27/24.02	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1)))))) -> 1_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.27/24.02	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1)))))) -> 1_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.27/24.02	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1)))))) -> 1_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.27/24.02	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1)))))) -> 1_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.27/24.02	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1)))))) -> 1_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.27/24.02	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1)))))) -> 3_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.27/24.02	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1)))))) -> 3_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.27/24.02	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1)))))) -> 3_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.27/24.02	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1)))))) -> 3_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.27/24.02	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1)))))) -> 3_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.27/24.02	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1)))))) -> 3_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.27/24.02	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1)))))) -> 2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.27/24.02	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1)))))) -> 2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.27/24.02	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1)))))) -> 2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.27/24.02	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1)))))) -> 2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.27/24.02	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1)))))) -> 2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.27/24.02	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1)))))) -> 2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.27/24.02	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1)))))) -> 4_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.27/24.02	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1)))))) -> 4_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.27/24.02	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1)))))) -> 4_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.27/24.02	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1)))))) -> 4_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.27/24.02	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1)))))) -> 4_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.27/24.02	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1)))))) -> 4_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.27/24.02	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1)))))) -> 5_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.27/24.02	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1)))))) -> 5_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.27/24.02	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1)))))) -> 5_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.27/24.02	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1)))))) -> 5_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.27/24.02	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1)))))) -> 5_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.27/24.02	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1)))))) -> 5_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.27/24.02	   0_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 0_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))
90.27/24.02	   0_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 0_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))
90.27/24.02	   0_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 0_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(x1)))))))
90.27/24.02	   0_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 0_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))
90.27/24.02	   0_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 0_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(x1)))))))
90.27/24.02	   0_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 0_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(x1)))))))
90.27/24.02	   1_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 1_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))
90.27/24.02	   1_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 1_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))
90.27/24.02	   1_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 1_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(x1)))))))
90.27/24.02	   1_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 1_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))
90.27/24.02	   1_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 1_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(x1)))))))
90.27/24.02	   1_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 1_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(x1)))))))
90.27/24.02	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))
90.27/24.02	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))
90.27/24.02	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(x1)))))))
90.27/24.02	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))
90.27/24.02	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(x1)))))))
90.27/24.02	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(x1)))))))
90.27/24.02	   2_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 2_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))
90.27/24.02	   2_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 2_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))
90.27/24.02	   2_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 2_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(x1)))))))
90.27/24.02	   2_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 2_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))
90.27/24.02	   2_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 2_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(x1)))))))
90.27/24.02	   2_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 2_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(x1)))))))
90.27/24.02	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))
90.27/24.02	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))
90.27/24.02	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(x1)))))))
90.27/24.02	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))
90.27/24.02	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(x1)))))))
90.27/24.02	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(x1)))))))
90.27/24.02	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))
90.27/24.02	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))
90.27/24.02	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(x1)))))))
90.27/24.02	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))
90.27/24.02	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(x1)))))))
90.27/24.02	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(x1)))))))
90.27/24.02	   0_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 0_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.27/24.02	   0_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 0_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.27/24.02	   0_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 0_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.27/24.02	   0_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 0_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.27/24.02	   0_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 0_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.27/24.02	   0_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 0_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.27/24.02	   1_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.27/24.02	   1_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.27/24.02	   1_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.27/24.02	   1_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.27/24.02	   1_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.27/24.02	   1_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.27/24.02	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.27/24.02	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.27/24.02	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.27/24.02	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.27/24.02	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.27/24.02	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.27/24.02	   2_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.27/24.02	   2_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.27/24.02	   2_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.27/24.02	   2_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.27/24.02	   2_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.27/24.02	   2_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.27/24.02	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 4_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.27/24.02	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 4_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.27/24.02	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 4_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.27/24.02	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 4_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.27/24.02	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 4_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.27/24.02	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 4_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.27/24.02	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 5_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.27/24.02	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 5_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.27/24.02	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 5_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.27/24.02	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 5_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.27/24.02	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 5_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.27/24.02	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 5_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.27/24.02	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{0_1}(x1)))))) -> 0_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.27/24.02	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(x1)))))) -> 0_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.27/24.02	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(x1)))))) -> 0_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.27/24.02	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{2_1}(x1)))))) -> 0_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.27/24.02	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(x1)))))) -> 0_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.27/24.02	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{5_1}(x1)))))) -> 0_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.27/24.02	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{0_1}(x1)))))) -> 1_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.27/24.02	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(x1)))))) -> 1_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.27/24.02	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(x1)))))) -> 1_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.27/24.02	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{2_1}(x1)))))) -> 1_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.27/24.02	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(x1)))))) -> 1_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.27/24.02	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{5_1}(x1)))))) -> 1_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.27/24.02	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{0_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.27/24.02	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.27/24.02	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.27/24.02	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{2_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.27/24.02	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.27/24.02	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{5_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.27/24.02	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{0_1}(x1)))))) -> 2_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.27/24.02	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(x1)))))) -> 2_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.27/24.02	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(x1)))))) -> 2_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.27/24.02	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{2_1}(x1)))))) -> 2_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.27/24.02	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(x1)))))) -> 2_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.27/24.02	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{5_1}(x1)))))) -> 2_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.27/24.02	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{0_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.27/24.02	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.27/24.02	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.27/24.02	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{2_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.27/24.02	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.27/24.02	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{5_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.27/24.02	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{0_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.27/24.02	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.27/24.02	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.27/24.02	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{2_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.27/24.02	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.27/24.02	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{5_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.27/24.02	   0_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 0_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.27/24.02	   0_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 0_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.27/24.02	   0_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 0_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.27/24.02	   0_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 0_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.27/24.02	   0_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 0_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.27/24.02	   0_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 0_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.27/24.02	   1_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.27/24.02	   1_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.27/24.02	   1_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.27/24.02	   1_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.27/24.02	   1_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.27/24.02	   1_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.27/24.02	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.27/24.02	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.27/24.02	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.27/24.02	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.27/24.02	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.27/24.02	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.27/24.02	   2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.27/24.02	   2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.27/24.02	   2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.27/24.02	   2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.27/24.02	   2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.27/24.02	   2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.27/24.02	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.27/24.02	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.27/24.02	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.27/24.02	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.27/24.02	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.27/24.02	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.27/24.02	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.27/24.02	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.27/24.02	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.27/24.02	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.27/24.02	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.27/24.02	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.27/24.02	
90.27/24.02	Q is empty.
90.27/24.02	
90.27/24.02	----------------------------------------
90.27/24.02	
90.27/24.02	(7) QTRSRRRProof (EQUIVALENT)
90.27/24.02	Used ordering:
90.27/24.02	Polynomial interpretation [POLO]:
90.27/24.02	
90.27/24.02	   POL(0_{0_1}(x_1)) = 4 + x_1
90.27/24.02	   POL(0_{1_1}(x_1)) = 4 + x_1
90.27/24.02	   POL(0_{2_1}(x_1)) = x_1
90.27/24.02	   POL(0_{3_1}(x_1)) = 2 + x_1
90.27/24.02	   POL(0_{4_1}(x_1)) = 6 + x_1
90.27/24.02	   POL(0_{5_1}(x_1)) = 2 + x_1
90.27/24.02	   POL(1_{0_1}(x_1)) = 4 + x_1
90.27/24.02	   POL(1_{1_1}(x_1)) = x_1
90.27/24.02	   POL(1_{2_1}(x_1)) = x_1
90.27/24.02	   POL(1_{3_1}(x_1)) = x_1
90.27/24.02	   POL(1_{4_1}(x_1)) = 6 + x_1
90.27/24.02	   POL(1_{5_1}(x_1)) = x_1
90.27/24.02	   POL(2_{0_1}(x_1)) = 2 + x_1
90.27/24.02	   POL(2_{1_1}(x_1)) = x_1
90.27/24.02	   POL(2_{2_1}(x_1)) = x_1
90.27/24.02	   POL(2_{3_1}(x_1)) = x_1
90.27/24.02	   POL(2_{4_1}(x_1)) = 6 + x_1
90.27/24.02	   POL(2_{5_1}(x_1)) = x_1
90.27/24.02	   POL(3_{0_1}(x_1)) = x_1
90.27/24.02	   POL(3_{1_1}(x_1)) = x_1
90.27/24.02	   POL(3_{2_1}(x_1)) = x_1
90.27/24.02	   POL(3_{3_1}(x_1)) = 1 + x_1
90.27/24.02	   POL(3_{4_1}(x_1)) = 4 + x_1
90.27/24.02	   POL(3_{5_1}(x_1)) = 2 + x_1
90.27/24.02	   POL(4_{0_1}(x_1)) = x_1
90.27/24.02	   POL(4_{1_1}(x_1)) = 2 + x_1
90.27/24.02	   POL(4_{2_1}(x_1)) = x_1
90.27/24.02	   POL(4_{3_1}(x_1)) = x_1
90.27/24.02	   POL(4_{4_1}(x_1)) = x_1
90.27/24.02	   POL(4_{5_1}(x_1)) = x_1
90.27/24.02	   POL(5_{0_1}(x_1)) = 2 + x_1
90.27/24.02	   POL(5_{1_1}(x_1)) = x_1
90.27/24.02	   POL(5_{2_1}(x_1)) = 2 + x_1
90.27/24.02	   POL(5_{3_1}(x_1)) = x_1
90.27/24.02	   POL(5_{4_1}(x_1)) = 7 + x_1
90.27/24.02	   POL(5_{5_1}(x_1)) = 4 + x_1
90.27/24.02	With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:
90.27/24.02	
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(x1)))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(x1)))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{1_1}(1_{3_1}(3_{0_1}(x1)))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{1_1}(1_{3_1}(3_{1_1}(x1)))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{1_1}(1_{3_1}(3_{4_1}(x1)))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{1_1}(1_{3_1}(3_{2_1}(x1)))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{1_1}(1_{3_1}(3_{3_1}(x1)))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{1_1}(1_{3_1}(3_{5_1}(x1)))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))) -> 0_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(x1)))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))) -> 0_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(x1)))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))) -> 0_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(x1)))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))) -> 0_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(x1)))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))) -> 0_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{3_1}(x1)))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))) -> 0_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(x1)))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(x1)))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{1_1}(x1)))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(x1)))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(x1)))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(x1)))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(x1)))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1)))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1)))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1)))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1)))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1)))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1)))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{0_1}(x1)))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{1_1}(x1)))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{4_1}(x1)))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{2_1}(x1)))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{3_1}(x1)))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(5_{5_1}(x1)))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{3_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(2_{5_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{3_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(2_{5_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))) -> 0_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))) -> 0_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))) -> 0_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))) -> 0_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))) -> 0_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))) -> 0_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))) -> 0_{0_1}(0_{2_1}(2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))) -> 0_{0_1}(0_{2_1}(2_{5_1}(5_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))) -> 0_{0_1}(0_{2_1}(2_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))) -> 0_{0_1}(0_{2_1}(2_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))) -> 0_{0_1}(0_{2_1}(2_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))) -> 0_{0_1}(0_{2_1}(2_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{0_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{1_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{4_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{2_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{3_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{3_1}(3_{5_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))) -> 0_{0_1}(0_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))) -> 0_{0_1}(0_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{1_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))) -> 0_{0_1}(0_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{4_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))) -> 0_{0_1}(0_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))) -> 0_{0_1}(0_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{3_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))) -> 0_{0_1}(0_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(5_{5_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1)))) -> 0_{4_1}(4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(x1)))))
90.27/24.02	   0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1)))) -> 0_{4_1}(4_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(x1)))))
90.27/24.02	   0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1)))) -> 0_{4_1}(4_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(x1)))))
90.27/24.02	   0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1)))) -> 0_{4_1}(4_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(x1)))))
90.27/24.02	   0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1)))) -> 0_{4_1}(4_{2_1}(2_{1_1}(1_{3_1}(3_{3_1}(x1)))))
90.27/24.02	   0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1)))) -> 0_{4_1}(4_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(x1)))))
90.27/24.02	   0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(x1)))))
90.27/24.02	   0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{1_1}(x1)))))
90.27/24.02	   0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(x1)))))
90.27/24.02	   0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(x1)))))
90.27/24.02	   0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(x1)))))
90.27/24.02	   0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(x1)))))
90.27/24.02	   0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1)))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1)))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1)))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1)))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1)))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1)))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1)))) -> 0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{0_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1)))) -> 0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{1_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1)))) -> 0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1)))) -> 0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1)))) -> 0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{3_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1)))) -> 0_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{5_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{1_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{4_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{3_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{5_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 0_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 0_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(0_{1_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 0_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(0_{4_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 0_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 0_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(0_{3_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 0_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(0_{5_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(0_{1_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(0_{4_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(0_{3_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(0_{5_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(x1))))))
90.27/24.02	   0_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 0_{0_1}(0_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.27/24.02	   0_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 0_{0_1}(0_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.27/24.02	   0_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 0_{0_1}(0_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.27/24.02	   0_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 0_{0_1}(0_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.27/24.02	   0_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 0_{0_1}(0_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.27/24.02	   0_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 0_{0_1}(0_{0_1}(0_{3_1}(3_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.27/24.02	   0_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 0_{1_1}(1_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{0_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 0_{1_1}(1_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 0_{1_1}(1_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 0_{1_1}(1_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 0_{1_1}(1_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{3_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 0_{1_1}(1_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(2_{1_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(2_{2_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(2_{3_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(2_{5_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 0_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 0_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 0_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 0_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 0_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 0_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 0_{0_1}(0_{2_1}(2_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 0_{0_1}(0_{2_1}(2_{5_1}(5_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 0_{0_1}(0_{2_1}(2_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 0_{0_1}(0_{2_1}(2_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 0_{0_1}(0_{2_1}(2_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 0_{0_1}(0_{2_1}(2_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(x1))))) -> 0_{1_1}(1_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{0_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(x1))))) -> 0_{1_1}(1_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(x1))))) -> 0_{1_1}(1_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(3_{2_1}(x1))))) -> 0_{1_1}(1_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(3_{3_1}(x1))))) -> 0_{1_1}(1_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{3_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(3_{5_1}(x1))))) -> 0_{1_1}(1_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(x1))))) -> 0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(x1))))) -> 0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(x1))))) -> 0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(3_{2_1}(x1))))) -> 0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(3_{3_1}(x1))))) -> 0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(3_{5_1}(x1))))) -> 0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(x1))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(x1))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(x1))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(3_{2_1}(x1))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(3_{3_1}(x1))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(3_{5_1}(x1))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))) -> 0_{4_1}(4_{1_1}(1_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))) -> 0_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))) -> 0_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))) -> 0_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))) -> 0_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))) -> 0_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))) -> 0_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{4_1}(x1))))) -> 0_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(x1))))) -> 0_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{3_1}(x1))))) -> 0_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{5_1}(x1))))) -> 0_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(x1))))) -> 0_{1_1}(1_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{0_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(x1))))) -> 0_{1_1}(1_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{4_1}(x1))))) -> 0_{1_1}(1_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(x1))))) -> 0_{1_1}(1_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{2_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{3_1}(x1))))) -> 0_{1_1}(1_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{3_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{5_1}(x1))))) -> 0_{1_1}(1_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(2_{5_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(3_{0_1}(x1))))) -> 0_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(3_{1_1}(x1))))) -> 0_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(x1))))) -> 0_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(3_{2_1}(x1))))) -> 0_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(3_{3_1}(x1))))) -> 0_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(3_{5_1}(x1))))) -> 0_{3_1}(3_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(3_{0_1}(x1))))) -> 0_{0_1}(0_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(3_{1_1}(x1))))) -> 0_{0_1}(0_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(x1))))) -> 0_{0_1}(0_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(3_{2_1}(x1))))) -> 0_{0_1}(0_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(3_{3_1}(x1))))) -> 0_{0_1}(0_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(3_{5_1}(x1))))) -> 0_{0_1}(0_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{0_1}(x1))))) -> 0_{3_1}(3_{4_1}(4_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(x1))))) -> 0_{3_1}(3_{4_1}(4_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(x1))))) -> 0_{3_1}(3_{4_1}(4_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{2_1}(x1))))) -> 0_{3_1}(3_{4_1}(4_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(x1))))) -> 0_{3_1}(3_{4_1}(4_{2_1}(2_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{5_1}(x1))))) -> 0_{3_1}(3_{4_1}(4_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{0_1}(x1))))) -> 0_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(x1))))) -> 0_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(x1))))) -> 0_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{2_1}(x1))))) -> 0_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(x1))))) -> 0_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{5_1}(x1))))) -> 0_{1_1}(1_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{4_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{2_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{4_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{3_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{5_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 0_{4_1}(4_{4_1}(4_{1_1}(1_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 0_{4_1}(4_{4_1}(4_{1_1}(1_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 0_{4_1}(4_{4_1}(4_{1_1}(1_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 0_{4_1}(4_{4_1}(4_{1_1}(1_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 0_{4_1}(4_{4_1}(4_{1_1}(1_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 0_{4_1}(4_{4_1}(4_{1_1}(1_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{4_1}(x1))))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(x1))))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{5_1}(x1))))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 1_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 1_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{4_1}(x1))))) -> 1_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 1_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(x1))))) -> 1_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{5_1}(x1))))) -> 1_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.52/24.03	   3_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 3_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.52/24.03	   3_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 3_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.52/24.03	   3_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{4_1}(x1))))) -> 3_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.52/24.03	   3_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 3_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.52/24.03	   3_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(x1))))) -> 3_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.52/24.03	   3_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{5_1}(x1))))) -> 3_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{4_1}(x1))))) -> 2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(x1))))) -> 2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{5_1}(x1))))) -> 2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.52/24.03	   4_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.52/24.03	   4_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.52/24.03	   4_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{4_1}(x1))))) -> 4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.52/24.03	   4_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.52/24.03	   4_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(x1))))) -> 4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.52/24.03	   4_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{5_1}(x1))))) -> 4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.52/24.03	   5_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 5_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.52/24.03	   5_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 5_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.52/24.03	   5_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{4_1}(x1))))) -> 5_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.52/24.03	   5_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 5_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.52/24.03	   5_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(x1))))) -> 5_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.52/24.03	   5_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{5_1}(x1))))) -> 5_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{4_1}(x1))))) -> 0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(x1))))) -> 0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{5_1}(x1))))) -> 0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{4_1}(x1))))) -> 1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(x1))))) -> 1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{5_1}(x1))))) -> 1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
90.52/24.03	   3_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 3_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
90.52/24.03	   3_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 3_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
90.52/24.03	   3_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{4_1}(x1))))) -> 3_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
90.52/24.03	   3_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 3_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
90.52/24.03	   3_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(x1))))) -> 3_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
90.52/24.03	   3_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{5_1}(x1))))) -> 3_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{4_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{5_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
90.52/24.03	   4_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
90.52/24.03	   4_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
90.52/24.03	   4_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(x1))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
90.52/24.03	   4_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{5_1}(x1))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
90.52/24.03	   5_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 5_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
90.52/24.03	   5_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 5_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
90.52/24.03	   5_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{4_1}(x1))))) -> 5_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
90.52/24.03	   5_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 5_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
90.52/24.03	   5_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(x1))))) -> 5_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
90.52/24.03	   5_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{5_1}(x1))))) -> 5_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 0_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 1_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.52/24.03	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.52/24.03	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.52/24.03	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.52/24.03	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.52/24.03	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.52/24.03	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.52/24.03	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.52/24.03	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.52/24.03	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.52/24.03	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.52/24.03	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.52/24.03	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.52/24.03	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.52/24.03	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.52/24.03	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.52/24.03	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.52/24.03	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.52/24.03	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(x1)))))) -> 0_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(x1)))))) -> 0_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(x1)))))) -> 0_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(x1)))))) -> 0_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(x1)))))) -> 0_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{5_1}(x1)))))) -> 0_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(x1)))))) -> 1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(x1)))))) -> 1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(x1)))))) -> 1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(x1)))))) -> 1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(x1)))))) -> 1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{5_1}(x1)))))) -> 1_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(x1)))))))
90.52/24.03	   3_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x1)))))))
90.52/24.03	   3_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x1)))))))
90.52/24.03	   3_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(x1)))))))
90.52/24.03	   3_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x1)))))))
90.52/24.03	   3_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(x1)))))))
90.52/24.03	   3_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{5_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(x1)))))) -> 2_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(x1)))))) -> 2_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(x1)))))) -> 2_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(x1)))))) -> 2_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(x1)))))) -> 2_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{5_1}(x1)))))) -> 2_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(x1)))))))
90.52/24.03	   4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x1)))))))
90.52/24.03	   4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x1)))))))
90.52/24.03	   4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(x1)))))))
90.52/24.03	   4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x1)))))))
90.52/24.03	   4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(x1)))))))
90.52/24.03	   4_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{5_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(x1)))))))
90.52/24.03	   5_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x1)))))))
90.52/24.03	   5_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x1)))))))
90.52/24.03	   5_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(x1)))))))
90.52/24.03	   5_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x1)))))))
90.52/24.03	   5_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(x1)))))))
90.52/24.03	   5_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(1_{0_1}(0_{5_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 1_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))) -> 1_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))) -> 1_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 1_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))) -> 1_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 1_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.52/24.03	   3_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 3_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.52/24.03	   3_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))) -> 3_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.52/24.03	   3_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))) -> 3_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.52/24.03	   3_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 3_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.52/24.03	   3_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))) -> 3_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.52/24.03	   3_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 3_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))) -> 2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))) -> 2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))) -> 2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.52/24.03	   4_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.52/24.03	   4_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))) -> 4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.52/24.03	   4_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))) -> 4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.52/24.03	   4_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.52/24.03	   4_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))) -> 4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.52/24.03	   4_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.52/24.03	   5_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 5_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.52/24.03	   5_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))) -> 5_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.52/24.03	   5_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))) -> 5_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.52/24.03	   5_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 5_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.52/24.03	   5_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))) -> 5_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.52/24.03	   5_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 5_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 0_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 1_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))) -> 1_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))) -> 1_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 1_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))) -> 1_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 1_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
90.52/24.03	   3_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 3_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
90.52/24.03	   3_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))) -> 3_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
90.52/24.03	   3_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))) -> 3_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
90.52/24.03	   3_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 3_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
90.52/24.03	   3_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))) -> 3_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
90.52/24.03	   3_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 3_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))) -> 2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))) -> 2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))) -> 2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
90.52/24.03	   4_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
90.52/24.03	   4_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))) -> 4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
90.52/24.03	   4_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))) -> 4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
90.52/24.03	   4_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
90.52/24.03	   5_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))) -> 5_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
90.52/24.03	   5_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))) -> 5_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
90.52/24.03	   5_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))) -> 5_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
90.52/24.03	   5_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 5_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
90.52/24.03	   5_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))) -> 5_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
90.52/24.03	   5_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))) -> 5_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1)))))) -> 0_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1)))))) -> 0_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1)))))) -> 0_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1)))))) -> 0_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1)))))) -> 0_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1)))))) -> 0_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1)))))) -> 1_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1)))))) -> 1_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1)))))) -> 1_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1)))))) -> 1_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1)))))) -> 1_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1)))))) -> 1_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.52/24.03	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1)))))) -> 3_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.52/24.03	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1)))))) -> 3_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.52/24.03	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1)))))) -> 3_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.52/24.03	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1)))))) -> 3_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.52/24.03	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1)))))) -> 3_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.52/24.03	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1)))))) -> 3_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1)))))) -> 2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1)))))) -> 2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1)))))) -> 2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1)))))) -> 2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1)))))) -> 2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1)))))) -> 2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.52/24.03	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1)))))) -> 4_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.52/24.03	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1)))))) -> 4_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.52/24.03	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1)))))) -> 4_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.52/24.03	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1)))))) -> 4_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.52/24.03	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1)))))) -> 4_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.52/24.03	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1)))))) -> 4_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.52/24.03	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{0_1}(x1)))))) -> 5_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.52/24.03	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{1_1}(x1)))))) -> 5_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.52/24.03	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{4_1}(x1)))))) -> 5_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.52/24.03	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{2_1}(x1)))))) -> 5_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.52/24.03	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(x1)))))) -> 5_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.52/24.03	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(0_{5_1}(x1)))))) -> 5_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 0_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 0_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 0_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 0_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 0_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 0_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 1_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 1_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 1_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 1_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 1_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 1_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 2_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 2_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 2_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 2_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 2_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 2_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 0_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 0_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 0_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 0_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 0_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 0_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.52/24.03	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 4_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.52/24.03	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 4_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.52/24.03	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 4_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.52/24.03	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 4_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.52/24.03	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 4_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.52/24.03	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 4_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{0_1}(x1)))))) -> 0_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(x1)))))) -> 0_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(x1)))))) -> 0_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{2_1}(x1)))))) -> 0_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(x1)))))) -> 0_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{5_1}(x1)))))) -> 0_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{0_1}(x1)))))) -> 1_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(x1)))))) -> 1_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(x1)))))) -> 1_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{2_1}(x1)))))) -> 1_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(x1)))))) -> 1_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{5_1}(x1)))))) -> 1_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.52/24.03	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{0_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.52/24.03	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.52/24.03	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.52/24.03	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{2_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.52/24.03	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.52/24.03	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{5_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{0_1}(x1)))))) -> 2_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(x1)))))) -> 2_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(x1)))))) -> 2_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{2_1}(x1)))))) -> 2_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(x1)))))) -> 2_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{5_1}(x1)))))) -> 2_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.52/24.03	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{0_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.52/24.03	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.52/24.03	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.52/24.03	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{2_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.52/24.03	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.52/24.03	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{5_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.52/24.03	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{0_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.52/24.03	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{1_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.52/24.03	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.52/24.03	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{2_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.52/24.03	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.52/24.03	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{5_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 0_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 0_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 0_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 0_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 0_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.52/24.03	   0_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 0_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.52/24.03	   1_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 1_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.52/24.03	   2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.52/24.03	
90.52/24.03	
90.52/24.03	
90.52/24.03	
90.52/24.03	----------------------------------------
90.52/24.03	
90.52/24.03	(8)
90.52/24.03	Obligation:
90.52/24.03	Q restricted rewrite system:
90.52/24.03	The TRS R consists of the following rules:
90.52/24.03	
90.52/24.03	   0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1)))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1)))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{0_1}(0_{4_1}(x1)))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1)))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(x1)))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{0_1}(0_{5_1}(x1)))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(x1)))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1)))) -> 0_{1_1}(1_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))
90.52/24.03	   0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1)))) -> 0_{1_1}(1_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))
90.52/24.03	   0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1)))) -> 0_{1_1}(1_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))
90.52/24.03	   0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1)))) -> 0_{1_1}(1_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))
90.52/24.03	   0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1)))) -> 0_{1_1}(1_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))
90.52/24.03	   0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1)))) -> 0_{1_1}(1_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))
90.52/24.03	   0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.03	   0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{4_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{5_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(2_{4_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(x1))))) -> 0_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(x1))))) -> 0_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{4_1}(x1))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))) -> 4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 5_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 5_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 5_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 5_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 5_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 5_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.52/24.04	
90.52/24.04	Q is empty.
90.52/24.04	
90.52/24.04	----------------------------------------
90.52/24.04	
90.52/24.04	(9) QTRSRRRProof (EQUIVALENT)
90.52/24.04	Used ordering:
90.52/24.04	Polynomial interpretation [POLO]:
90.52/24.04	
90.52/24.04	   POL(0_{0_1}(x_1)) = 3 + x_1
90.52/24.04	   POL(0_{1_1}(x_1)) = 3 + x_1
90.52/24.04	   POL(0_{2_1}(x_1)) = 1 + x_1
90.52/24.04	   POL(0_{3_1}(x_1)) = 2 + x_1
90.52/24.04	   POL(0_{4_1}(x_1)) = 3 + x_1
90.52/24.04	   POL(0_{5_1}(x_1)) = 1 + x_1
90.52/24.04	   POL(1_{0_1}(x_1)) = 2 + x_1
90.52/24.04	   POL(1_{1_1}(x_1)) = 1 + x_1
90.52/24.04	   POL(1_{2_1}(x_1)) = x_1
90.52/24.04	   POL(1_{3_1}(x_1)) = x_1
90.52/24.04	   POL(1_{4_1}(x_1)) = 2 + x_1
90.52/24.04	   POL(1_{5_1}(x_1)) = x_1
90.52/24.04	   POL(2_{0_1}(x_1)) = 1 + x_1
90.52/24.04	   POL(2_{1_1}(x_1)) = x_1
90.52/24.04	   POL(2_{2_1}(x_1)) = x_1
90.52/24.04	   POL(2_{3_1}(x_1)) = x_1
90.52/24.04	   POL(2_{4_1}(x_1)) = 1 + x_1
90.52/24.04	   POL(2_{5_1}(x_1)) = x_1
90.52/24.04	   POL(3_{0_1}(x_1)) = x_1
90.52/24.04	   POL(3_{1_1}(x_1)) = x_1
90.52/24.04	   POL(3_{2_1}(x_1)) = x_1
90.52/24.04	   POL(3_{3_1}(x_1)) = x_1
90.52/24.04	   POL(3_{4_1}(x_1)) = x_1
90.52/24.04	   POL(3_{5_1}(x_1)) = 1 + x_1
90.52/24.04	   POL(4_{0_1}(x_1)) = 1 + x_1
90.52/24.04	   POL(4_{1_1}(x_1)) = 2 + x_1
90.52/24.04	   POL(4_{2_1}(x_1)) = 1 + x_1
90.52/24.04	   POL(4_{3_1}(x_1)) = 1 + x_1
90.52/24.04	   POL(4_{5_1}(x_1)) = x_1
90.52/24.04	   POL(5_{0_1}(x_1)) = 2 + x_1
90.52/24.04	   POL(5_{1_1}(x_1)) = x_1
90.52/24.04	   POL(5_{2_1}(x_1)) = 2 + x_1
90.52/24.04	   POL(5_{3_1}(x_1)) = x_1
90.52/24.04	   POL(5_{5_1}(x_1)) = 3 + x_1
90.52/24.04	With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:
90.52/24.04	
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1)))) -> 0_{1_1}(1_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1)))) -> 0_{1_1}(1_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1)))) -> 0_{1_1}(1_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1)))) -> 0_{1_1}(1_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1)))) -> 0_{1_1}(1_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1)))) -> 0_{1_1}(1_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))
90.52/24.04	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(2_{4_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(x1))))) -> 0_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(x1))))) -> 0_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(x1))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{4_1}(x1))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))) -> 4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
90.52/24.04	
90.52/24.04	
90.52/24.04	
90.52/24.04	
90.52/24.04	----------------------------------------
90.52/24.04	
90.52/24.04	(10)
90.52/24.04	Obligation:
90.52/24.04	Q restricted rewrite system:
90.52/24.04	The TRS R consists of the following rules:
90.52/24.04	
90.52/24.04	   0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1)))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1)))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{0_1}(0_{4_1}(x1)))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1)))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(x1)))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{0_1}(0_{5_1}(x1)))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(x1)))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{4_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{5_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 5_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 5_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 5_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 5_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 5_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 5_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.52/24.04	
90.52/24.04	Q is empty.
90.52/24.04	
90.52/24.04	----------------------------------------
90.52/24.04	
90.52/24.04	(11) QTRSRRRProof (EQUIVALENT)
90.52/24.04	Used ordering:
90.52/24.04	Polynomial interpretation [POLO]:
90.52/24.04	
90.52/24.04	   POL(0_{0_1}(x_1)) = x_1
90.52/24.04	   POL(0_{1_1}(x_1)) = 1 + x_1
90.52/24.04	   POL(0_{2_1}(x_1)) = x_1
90.52/24.04	   POL(0_{3_1}(x_1)) = x_1
90.52/24.04	   POL(0_{4_1}(x_1)) = x_1
90.52/24.04	   POL(0_{5_1}(x_1)) = x_1
90.52/24.04	   POL(1_{0_1}(x_1)) = x_1
90.52/24.04	   POL(1_{1_1}(x_1)) = x_1
90.52/24.04	   POL(1_{2_1}(x_1)) = x_1
90.52/24.04	   POL(1_{3_1}(x_1)) = x_1
90.52/24.04	   POL(1_{4_1}(x_1)) = x_1
90.52/24.04	   POL(1_{5_1}(x_1)) = x_1
90.52/24.04	   POL(2_{0_1}(x_1)) = x_1
90.52/24.04	   POL(2_{1_1}(x_1)) = x_1
90.52/24.04	   POL(2_{2_1}(x_1)) = x_1
90.52/24.04	   POL(2_{4_1}(x_1)) = x_1
90.52/24.04	   POL(2_{5_1}(x_1)) = 1 + x_1
90.52/24.04	   POL(3_{0_1}(x_1)) = x_1
90.52/24.04	   POL(3_{1_1}(x_1)) = 1 + x_1
90.52/24.04	   POL(3_{2_1}(x_1)) = x_1
90.52/24.04	   POL(3_{3_1}(x_1)) = x_1
90.52/24.04	   POL(3_{4_1}(x_1)) = x_1
90.52/24.04	   POL(3_{5_1}(x_1)) = 1 + x_1
90.52/24.04	   POL(4_{0_1}(x_1)) = x_1
90.52/24.04	   POL(4_{1_1}(x_1)) = 1 + x_1
90.52/24.04	   POL(4_{2_1}(x_1)) = x_1
90.52/24.04	   POL(4_{3_1}(x_1)) = x_1
90.52/24.04	   POL(4_{5_1}(x_1)) = x_1
90.52/24.04	   POL(5_{0_1}(x_1)) = x_1
90.52/24.04	   POL(5_{1_1}(x_1)) = x_1
90.52/24.04	   POL(5_{2_1}(x_1)) = x_1
90.52/24.04	   POL(5_{3_1}(x_1)) = x_1
90.52/24.04	   POL(5_{5_1}(x_1)) = 1 + x_1
90.52/24.04	With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:
90.52/24.04	
90.52/24.04	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.04	
90.52/24.04	
90.52/24.04	
90.52/24.04	
90.52/24.04	----------------------------------------
90.52/24.04	
90.52/24.04	(12)
90.52/24.04	Obligation:
90.52/24.04	Q restricted rewrite system:
90.52/24.04	The TRS R consists of the following rules:
90.52/24.04	
90.52/24.04	   0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1)))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1)))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{0_1}(0_{4_1}(x1)))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1)))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(x1)))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{0_1}(0_{5_1}(x1)))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(x1)))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{4_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{5_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 5_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 5_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 5_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 5_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 5_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 5_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.52/24.04	
90.52/24.04	Q is empty.
90.52/24.04	
90.52/24.04	----------------------------------------
90.52/24.04	
90.52/24.04	(13) QTRSRRRProof (EQUIVALENT)
90.52/24.04	Used ordering:
90.52/24.04	Polynomial interpretation [POLO]:
90.52/24.04	
90.52/24.04	   POL(0_{0_1}(x_1)) = 2 + x_1
90.52/24.04	   POL(0_{1_1}(x_1)) = 2 + x_1
90.52/24.04	   POL(0_{2_1}(x_1)) = x_1
90.52/24.04	   POL(0_{3_1}(x_1)) = 1 + x_1
90.52/24.04	   POL(0_{4_1}(x_1)) = x_1
90.52/24.04	   POL(0_{5_1}(x_1)) = 2 + x_1
90.52/24.04	   POL(1_{0_1}(x_1)) = 2 + x_1
90.52/24.04	   POL(1_{1_1}(x_1)) = x_1
90.52/24.04	   POL(1_{2_1}(x_1)) = x_1
90.52/24.04	   POL(1_{3_1}(x_1)) = x_1
90.52/24.04	   POL(1_{4_1}(x_1)) = x_1
90.52/24.04	   POL(1_{5_1}(x_1)) = x_1
90.52/24.04	   POL(2_{0_1}(x_1)) = 1 + x_1
90.52/24.04	   POL(2_{1_1}(x_1)) = x_1
90.52/24.04	   POL(2_{2_1}(x_1)) = x_1
90.52/24.04	   POL(2_{4_1}(x_1)) = x_1
90.52/24.04	   POL(2_{5_1}(x_1)) = x_1
90.52/24.04	   POL(3_{0_1}(x_1)) = x_1
90.52/24.04	   POL(3_{1_1}(x_1)) = x_1
90.52/24.04	   POL(3_{2_1}(x_1)) = x_1
90.52/24.04	   POL(3_{3_1}(x_1)) = x_1
90.52/24.04	   POL(3_{4_1}(x_1)) = x_1
90.52/24.04	   POL(3_{5_1}(x_1)) = 1 + x_1
90.52/24.04	   POL(4_{0_1}(x_1)) = x_1
90.52/24.04	   POL(4_{1_1}(x_1)) = 1 + x_1
90.52/24.04	   POL(4_{2_1}(x_1)) = x_1
90.52/24.04	   POL(4_{3_1}(x_1)) = x_1
90.52/24.04	   POL(4_{5_1}(x_1)) = 1 + x_1
90.52/24.04	   POL(5_{0_1}(x_1)) = x_1
90.52/24.04	   POL(5_{1_1}(x_1)) = x_1
90.52/24.04	   POL(5_{2_1}(x_1)) = x_1
90.52/24.04	   POL(5_{3_1}(x_1)) = x_1
90.52/24.04	   POL(5_{5_1}(x_1)) = 1 + x_1
90.52/24.04	With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:
90.52/24.04	
90.52/24.04	   0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1)))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1)))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{0_1}(0_{4_1}(x1)))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1)))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(x1)))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{0_1}(0_{5_1}(x1)))) -> 0_{1_1}(1_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1))))))
90.52/24.04	
90.52/24.04	
90.52/24.04	
90.52/24.04	
90.52/24.04	----------------------------------------
90.52/24.04	
90.52/24.04	(14)
90.52/24.04	Obligation:
90.52/24.04	Q restricted rewrite system:
90.52/24.04	The TRS R consists of the following rules:
90.52/24.04	
90.52/24.04	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(x1)))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{4_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{5_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 5_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 5_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 5_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 5_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 5_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 5_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.52/24.04	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.52/24.04	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.52/24.04	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.52/24.04	
90.52/24.04	Q is empty.
90.52/24.04	
90.52/24.04	----------------------------------------
90.52/24.04	
90.52/24.04	(15) QTRSRRRProof (EQUIVALENT)
90.52/24.04	Used ordering:
90.52/24.04	Polynomial interpretation [POLO]:
90.52/24.04	
90.52/24.04	   POL(0_{0_1}(x_1)) = x_1
90.52/24.04	   POL(0_{1_1}(x_1)) = x_1
90.52/24.04	   POL(0_{2_1}(x_1)) = x_1
90.52/24.04	   POL(0_{3_1}(x_1)) = x_1
90.52/24.04	   POL(0_{4_1}(x_1)) = 1 + x_1
90.52/24.04	   POL(0_{5_1}(x_1)) = x_1
90.52/24.04	   POL(1_{0_1}(x_1)) = x_1
90.52/24.04	   POL(1_{1_1}(x_1)) = x_1
90.52/24.04	   POL(1_{2_1}(x_1)) = x_1
90.52/24.04	   POL(1_{3_1}(x_1)) = x_1
90.52/24.04	   POL(1_{4_1}(x_1)) = 1 + x_1
90.52/24.04	   POL(1_{5_1}(x_1)) = x_1
90.52/24.04	   POL(2_{0_1}(x_1)) = x_1
90.52/24.04	   POL(2_{1_1}(x_1)) = x_1
90.52/24.04	   POL(2_{2_1}(x_1)) = x_1
90.52/24.04	   POL(2_{4_1}(x_1)) = x_1
90.52/24.04	   POL(2_{5_1}(x_1)) = x_1
90.52/24.04	   POL(3_{0_1}(x_1)) = x_1
90.52/24.04	   POL(3_{1_1}(x_1)) = x_1
90.52/24.04	   POL(3_{2_1}(x_1)) = x_1
90.52/24.04	   POL(3_{3_1}(x_1)) = x_1
90.52/24.04	   POL(3_{4_1}(x_1)) = x_1
90.52/24.04	   POL(3_{5_1}(x_1)) = x_1
90.52/24.04	   POL(4_{0_1}(x_1)) = x_1
90.52/24.04	   POL(4_{1_1}(x_1)) = x_1
90.52/24.04	   POL(4_{2_1}(x_1)) = x_1
90.52/24.04	   POL(4_{3_1}(x_1)) = x_1
90.52/24.04	   POL(4_{5_1}(x_1)) = x_1
90.52/24.04	   POL(5_{0_1}(x_1)) = x_1
90.52/24.04	   POL(5_{1_1}(x_1)) = x_1
90.52/24.04	   POL(5_{2_1}(x_1)) = x_1
90.52/24.04	   POL(5_{3_1}(x_1)) = x_1
90.52/24.04	   POL(5_{5_1}(x_1)) = x_1
90.52/24.04	With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:
90.52/24.04	
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1))))))
90.52/24.04	
90.52/24.04	
90.52/24.04	
90.52/24.04	
90.52/24.04	----------------------------------------
90.52/24.04	
90.52/24.04	(16)
90.52/24.04	Obligation:
90.52/24.04	Q restricted rewrite system:
90.52/24.04	The TRS R consists of the following rules:
90.52/24.04	
90.52/24.04	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(x1)))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{4_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{5_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.04	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.05	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.05	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.05	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.05	   0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1))))))
90.52/24.05	   0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(x1)))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(x1)))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(x1)))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(x1)))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(x1)))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(x1)))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(x1)))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(x1)))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(x1)))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 5_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 5_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 5_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 5_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 5_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 5_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.52/24.05	
90.52/24.05	Q is empty.
90.52/24.05	
90.52/24.05	----------------------------------------
90.52/24.05	
90.52/24.05	(17) QTRSRRRProof (EQUIVALENT)
90.52/24.05	Used ordering:
90.52/24.05	Polynomial interpretation [POLO]:
90.52/24.05	
90.52/24.05	   POL(0_{0_1}(x_1)) = x_1
90.52/24.05	   POL(0_{1_1}(x_1)) = x_1
90.52/24.05	   POL(0_{2_1}(x_1)) = x_1
90.52/24.05	   POL(0_{3_1}(x_1)) = x_1
90.52/24.05	   POL(0_{4_1}(x_1)) = x_1
90.52/24.05	   POL(0_{5_1}(x_1)) = x_1
90.52/24.05	   POL(1_{0_1}(x_1)) = x_1
90.52/24.05	   POL(1_{2_1}(x_1)) = x_1
90.52/24.05	   POL(1_{3_1}(x_1)) = x_1
90.52/24.05	   POL(1_{4_1}(x_1)) = x_1
90.52/24.05	   POL(1_{5_1}(x_1)) = x_1
90.52/24.05	   POL(2_{0_1}(x_1)) = x_1
90.52/24.05	   POL(2_{1_1}(x_1)) = x_1
90.52/24.05	   POL(2_{2_1}(x_1)) = x_1
90.52/24.05	   POL(2_{5_1}(x_1)) = x_1
90.52/24.05	   POL(3_{0_1}(x_1)) = x_1
90.52/24.05	   POL(3_{1_1}(x_1)) = x_1
90.52/24.05	   POL(3_{2_1}(x_1)) = x_1
90.52/24.05	   POL(3_{3_1}(x_1)) = x_1
90.52/24.05	   POL(3_{4_1}(x_1)) = x_1
90.52/24.05	   POL(3_{5_1}(x_1)) = x_1
90.52/24.05	   POL(4_{0_1}(x_1)) = 1 + x_1
90.52/24.05	   POL(4_{1_1}(x_1)) = 1 + x_1
90.52/24.05	   POL(4_{2_1}(x_1)) = 1 + x_1
90.52/24.05	   POL(4_{3_1}(x_1)) = 1 + x_1
90.52/24.05	   POL(4_{5_1}(x_1)) = x_1
90.52/24.05	   POL(5_{0_1}(x_1)) = x_1
90.52/24.05	   POL(5_{1_1}(x_1)) = x_1
90.52/24.05	   POL(5_{2_1}(x_1)) = x_1
90.52/24.05	   POL(5_{3_1}(x_1)) = x_1
90.52/24.05	   POL(5_{5_1}(x_1)) = x_1
90.52/24.05	With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:
90.52/24.05	
90.52/24.05	   0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.05	   0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.05	   0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.05	   0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.05	   0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.05	   0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.05	
90.52/24.05	
90.52/24.05	
90.52/24.05	
90.52/24.05	----------------------------------------
90.52/24.05	
90.52/24.05	(18)
90.52/24.05	Obligation:
90.52/24.05	Q restricted rewrite system:
90.52/24.05	The TRS R consists of the following rules:
90.52/24.05	
90.52/24.05	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))
90.52/24.05	   0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(x1)))))
90.52/24.05	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.05	   0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.05	   0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.05	   0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.05	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.05	   0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.05	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))))
90.52/24.05	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))))
90.52/24.05	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{4_1}(x1))))))
90.52/24.05	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))))
90.52/24.05	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(x1))))))
90.52/24.05	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{5_1}(x1))))))
90.52/24.05	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.05	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.05	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.05	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.05	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.05	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.05	   0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1))))))
90.52/24.05	   0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(x1)))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(x1)))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(x1)))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(x1)))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(x1)))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(x1)))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(x1)))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(x1)))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(x1)))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 5_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 5_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 5_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 5_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 5_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 5_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.52/24.05	
90.52/24.05	Q is empty.
90.52/24.05	
90.52/24.05	----------------------------------------
90.52/24.05	
90.52/24.05	(19) QTRSRRRProof (EQUIVALENT)
90.52/24.05	Used ordering:
90.52/24.05	Polynomial interpretation [POLO]:
90.52/24.05	
90.52/24.05	   POL(0_{0_1}(x_1)) = x_1
90.52/24.05	   POL(0_{1_1}(x_1)) = 1 + x_1
90.52/24.05	   POL(0_{2_1}(x_1)) = x_1
90.52/24.05	   POL(0_{3_1}(x_1)) = x_1
90.52/24.05	   POL(0_{4_1}(x_1)) = x_1
90.52/24.05	   POL(0_{5_1}(x_1)) = x_1
90.52/24.05	   POL(1_{0_1}(x_1)) = x_1
90.52/24.05	   POL(1_{2_1}(x_1)) = x_1
90.52/24.05	   POL(1_{3_1}(x_1)) = x_1
90.52/24.05	   POL(1_{4_1}(x_1)) = x_1
90.52/24.05	   POL(1_{5_1}(x_1)) = x_1
90.52/24.05	   POL(2_{0_1}(x_1)) = x_1
90.52/24.05	   POL(2_{1_1}(x_1)) = x_1
90.52/24.05	   POL(2_{2_1}(x_1)) = x_1
90.52/24.05	   POL(2_{5_1}(x_1)) = x_1
90.52/24.05	   POL(3_{0_1}(x_1)) = x_1
90.52/24.05	   POL(3_{1_1}(x_1)) = 1 + x_1
90.52/24.05	   POL(3_{2_1}(x_1)) = x_1
90.52/24.05	   POL(3_{3_1}(x_1)) = x_1
90.52/24.05	   POL(3_{4_1}(x_1)) = x_1
90.52/24.05	   POL(3_{5_1}(x_1)) = 1 + x_1
90.52/24.05	   POL(4_{0_1}(x_1)) = x_1
90.52/24.05	   POL(4_{1_1}(x_1)) = 1 + x_1
90.52/24.05	   POL(4_{2_1}(x_1)) = x_1
90.52/24.05	   POL(4_{3_1}(x_1)) = x_1
90.52/24.05	   POL(5_{0_1}(x_1)) = x_1
90.52/24.05	   POL(5_{1_1}(x_1)) = x_1
90.52/24.05	   POL(5_{2_1}(x_1)) = x_1
90.52/24.05	   POL(5_{3_1}(x_1)) = x_1
90.52/24.05	   POL(5_{5_1}(x_1)) = 1 + x_1
90.52/24.05	With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:
90.52/24.05	
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(x1)))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(x1)))))))
90.52/24.05	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 3_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(x1)))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(x1)))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(x1)))))))
90.52/24.05	   4_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 4_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(x1)))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))
90.52/24.05	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 5_{2_1}(2_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(x1)))))))
90.52/24.06	
90.52/24.06	
90.52/24.06	
90.52/24.06	
90.52/24.06	----------------------------------------
90.52/24.06	
90.52/24.06	(20)
90.52/24.06	Obligation:
90.52/24.06	Q restricted rewrite system:
90.52/24.06	The TRS R consists of the following rules:
90.52/24.06	
90.52/24.06	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))
90.52/24.06	   0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(x1)))))
90.52/24.06	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.06	   0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.06	   0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.06	   0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.06	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.06	   0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.06	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))))
90.52/24.06	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))))
90.52/24.06	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{4_1}(x1))))))
90.52/24.06	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))))
90.52/24.06	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(x1))))))
90.52/24.06	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{5_1}(x1))))))
90.52/24.06	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.06	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.06	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.06	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.06	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.06	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.06	   0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1))))))
90.52/24.06	   0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 5_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 5_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 5_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 5_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 5_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 5_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.52/24.06	
90.52/24.06	Q is empty.
90.52/24.06	
90.52/24.06	----------------------------------------
90.52/24.06	
90.52/24.06	(21) QTRSRRRProof (EQUIVALENT)
90.52/24.06	Used ordering:
90.52/24.06	Polynomial interpretation [POLO]:
90.52/24.06	
90.52/24.06	   POL(0_{0_1}(x_1)) = 1 + x_1
90.52/24.06	   POL(0_{1_1}(x_1)) = 1 + x_1
90.52/24.06	   POL(0_{2_1}(x_1)) = 1 + x_1
90.52/24.06	   POL(0_{3_1}(x_1)) = 1 + x_1
90.52/24.06	   POL(0_{4_1}(x_1)) = 1 + x_1
90.52/24.06	   POL(0_{5_1}(x_1)) = x_1
90.52/24.06	   POL(1_{0_1}(x_1)) = x_1
90.52/24.06	   POL(1_{2_1}(x_1)) = x_1
90.52/24.06	   POL(1_{3_1}(x_1)) = x_1
90.52/24.06	   POL(1_{4_1}(x_1)) = x_1
90.52/24.06	   POL(1_{5_1}(x_1)) = x_1
90.52/24.06	   POL(2_{0_1}(x_1)) = x_1
90.52/24.06	   POL(2_{1_1}(x_1)) = x_1
90.52/24.06	   POL(2_{2_1}(x_1)) = x_1
90.52/24.06	   POL(3_{0_1}(x_1)) = x_1
90.52/24.06	   POL(3_{1_1}(x_1)) = x_1
90.52/24.06	   POL(3_{2_1}(x_1)) = x_1
90.52/24.06	   POL(3_{3_1}(x_1)) = x_1
90.52/24.06	   POL(3_{4_1}(x_1)) = x_1
90.52/24.06	   POL(3_{5_1}(x_1)) = x_1
90.52/24.06	   POL(4_{0_1}(x_1)) = x_1
90.52/24.06	   POL(4_{1_1}(x_1)) = x_1
90.52/24.06	   POL(4_{2_1}(x_1)) = x_1
90.52/24.06	   POL(4_{3_1}(x_1)) = x_1
90.52/24.06	   POL(5_{0_1}(x_1)) = 1 + x_1
90.52/24.06	   POL(5_{1_1}(x_1)) = x_1
90.52/24.06	   POL(5_{2_1}(x_1)) = 1 + x_1
90.52/24.06	   POL(5_{3_1}(x_1)) = x_1
90.52/24.06	   POL(5_{5_1}(x_1)) = x_1
90.52/24.06	With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:
90.52/24.06	
90.52/24.06	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.06	   0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.06	   0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.06	   0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.06	   0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.06	   0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))) -> 0_{0_1}(0_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 5_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 5_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 5_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 5_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 5_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 5_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.52/24.06	
90.52/24.06	
90.52/24.06	
90.52/24.06	
90.52/24.06	----------------------------------------
90.52/24.06	
90.52/24.06	(22)
90.52/24.06	Obligation:
90.52/24.06	Q restricted rewrite system:
90.52/24.06	The TRS R consists of the following rules:
90.52/24.06	
90.52/24.06	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))
90.52/24.06	   0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(x1)))))
90.52/24.06	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))))
90.52/24.06	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))))
90.52/24.06	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{4_1}(x1))))))
90.52/24.06	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))))
90.52/24.06	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(x1))))))
90.52/24.06	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{5_1}(x1))))))
90.52/24.06	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.06	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.06	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.06	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.06	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.06	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.06	   0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1))))))
90.52/24.06	   0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.52/24.06	
90.52/24.06	Q is empty.
90.52/24.06	
90.52/24.06	----------------------------------------
90.52/24.06	
90.52/24.06	(23) QTRSRRRProof (EQUIVALENT)
90.52/24.06	Used ordering:
90.52/24.06	Polynomial interpretation [POLO]:
90.52/24.06	
90.52/24.06	   POL(0_{0_1}(x_1)) = x_1
90.52/24.06	   POL(0_{1_1}(x_1)) = x_1
90.52/24.06	   POL(0_{2_1}(x_1)) = x_1
90.52/24.06	   POL(0_{3_1}(x_1)) = x_1
90.52/24.06	   POL(0_{4_1}(x_1)) = x_1
90.52/24.06	   POL(0_{5_1}(x_1)) = 1 + x_1
90.52/24.06	   POL(1_{0_1}(x_1)) = x_1
90.52/24.06	   POL(1_{2_1}(x_1)) = x_1
90.52/24.06	   POL(1_{3_1}(x_1)) = x_1
90.52/24.06	   POL(1_{4_1}(x_1)) = x_1
90.52/24.06	   POL(1_{5_1}(x_1)) = x_1
90.52/24.06	   POL(2_{0_1}(x_1)) = x_1
90.52/24.06	   POL(2_{1_1}(x_1)) = x_1
90.52/24.06	   POL(2_{2_1}(x_1)) = x_1
90.52/24.06	   POL(3_{0_1}(x_1)) = x_1
90.52/24.06	   POL(3_{1_1}(x_1)) = x_1
90.52/24.06	   POL(3_{2_1}(x_1)) = x_1
90.52/24.06	   POL(3_{3_1}(x_1)) = x_1
90.52/24.06	   POL(3_{4_1}(x_1)) = x_1
90.52/24.06	   POL(3_{5_1}(x_1)) = 1 + x_1
90.52/24.06	   POL(4_{0_1}(x_1)) = x_1
90.52/24.06	   POL(4_{1_1}(x_1)) = x_1
90.52/24.06	   POL(4_{2_1}(x_1)) = x_1
90.52/24.06	   POL(4_{3_1}(x_1)) = x_1
90.52/24.06	   POL(5_{0_1}(x_1)) = x_1
90.52/24.06	   POL(5_{1_1}(x_1)) = x_1
90.52/24.06	   POL(5_{2_1}(x_1)) = x_1
90.52/24.06	   POL(5_{3_1}(x_1)) = x_1
90.52/24.06	With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:
90.52/24.06	
90.52/24.06	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))))
90.52/24.06	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))))
90.52/24.06	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{4_1}(x1))))))
90.52/24.06	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))))
90.52/24.06	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(x1))))))
90.52/24.06	   0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1))))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{5_1}(x1))))))
90.52/24.06	
90.52/24.06	
90.52/24.06	
90.52/24.06	
90.52/24.06	----------------------------------------
90.52/24.06	
90.52/24.06	(24)
90.52/24.06	Obligation:
90.52/24.06	Q restricted rewrite system:
90.52/24.06	The TRS R consists of the following rules:
90.52/24.06	
90.52/24.06	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))
90.52/24.06	   0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(x1)))))
90.52/24.06	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.06	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.06	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.06	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.06	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.06	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.06	   0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1))))))
90.52/24.06	   0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.52/24.06	
90.52/24.06	Q is empty.
90.52/24.06	
90.52/24.06	----------------------------------------
90.52/24.06	
90.52/24.06	(25) QTRSRRRProof (EQUIVALENT)
90.52/24.06	Used ordering:
90.52/24.06	Polynomial interpretation [POLO]:
90.52/24.06	
90.52/24.06	   POL(0_{0_1}(x_1)) = x_1
90.52/24.06	   POL(0_{1_1}(x_1)) = x_1
90.52/24.06	   POL(0_{2_1}(x_1)) = x_1
90.52/24.06	   POL(0_{3_1}(x_1)) = x_1
90.52/24.06	   POL(0_{4_1}(x_1)) = x_1
90.52/24.06	   POL(0_{5_1}(x_1)) = 1 + x_1
90.52/24.06	   POL(1_{0_1}(x_1)) = x_1
90.52/24.06	   POL(1_{2_1}(x_1)) = x_1
90.52/24.06	   POL(1_{3_1}(x_1)) = x_1
90.52/24.06	   POL(1_{4_1}(x_1)) = x_1
90.52/24.06	   POL(1_{5_1}(x_1)) = x_1
90.52/24.06	   POL(2_{0_1}(x_1)) = x_1
90.52/24.06	   POL(2_{1_1}(x_1)) = x_1
90.52/24.06	   POL(2_{2_1}(x_1)) = x_1
90.52/24.06	   POL(3_{0_1}(x_1)) = x_1
90.52/24.06	   POL(3_{1_1}(x_1)) = x_1
90.52/24.06	   POL(3_{2_1}(x_1)) = x_1
90.52/24.06	   POL(3_{3_1}(x_1)) = x_1
90.52/24.06	   POL(3_{4_1}(x_1)) = x_1
90.52/24.06	   POL(3_{5_1}(x_1)) = x_1
90.52/24.06	   POL(4_{0_1}(x_1)) = x_1
90.52/24.06	   POL(4_{1_1}(x_1)) = x_1
90.52/24.06	   POL(4_{2_1}(x_1)) = x_1
90.52/24.06	   POL(4_{3_1}(x_1)) = x_1
90.52/24.06	   POL(5_{0_1}(x_1)) = x_1
90.52/24.06	   POL(5_{1_1}(x_1)) = x_1
90.52/24.06	   POL(5_{2_1}(x_1)) = x_1
90.52/24.06	   POL(5_{3_1}(x_1)) = x_1
90.52/24.06	With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:
90.52/24.06	
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{1_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{4_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{2_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{3_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(0_{5_1}(x1)))))) -> 3_{5_1}(5_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1)))))))
90.52/24.06	
90.52/24.06	
90.52/24.06	
90.52/24.06	
90.52/24.06	----------------------------------------
90.52/24.06	
90.52/24.06	(26)
90.52/24.06	Obligation:
90.52/24.06	Q restricted rewrite system:
90.52/24.06	The TRS R consists of the following rules:
90.52/24.06	
90.52/24.06	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))
90.52/24.06	   0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(x1)))))
90.52/24.06	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.06	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.06	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.06	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.06	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.06	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.06	   0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1))))))
90.52/24.06	   0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
90.52/24.06	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.06	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.06	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.07	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.07	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.07	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.07	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.07	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.07	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.07	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.07	   4_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
90.52/24.07	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.52/24.07	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.52/24.07	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.52/24.07	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.52/24.07	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.52/24.07	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.52/24.07	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.52/24.07	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.52/24.07	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.52/24.07	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.52/24.07	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.52/24.07	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.52/24.07	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.52/24.07	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.52/24.07	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.52/24.07	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.52/24.07	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.52/24.07	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.52/24.07	
90.52/24.07	Q is empty.
90.52/24.07	
90.52/24.07	----------------------------------------
90.52/24.07	
90.52/24.07	(27) QTRSRRRProof (EQUIVALENT)
90.52/24.07	Used ordering:
90.52/24.07	Polynomial interpretation [POLO]:
90.52/24.07	
90.52/24.07	   POL(0_{0_1}(x_1)) = x_1
90.52/24.07	   POL(0_{1_1}(x_1)) = x_1
90.52/24.07	   POL(0_{2_1}(x_1)) = x_1
90.52/24.07	   POL(0_{3_1}(x_1)) = 1 + x_1
90.52/24.07	   POL(0_{4_1}(x_1)) = x_1
90.52/24.07	   POL(1_{0_1}(x_1)) = x_1
90.52/24.07	   POL(1_{2_1}(x_1)) = x_1
90.52/24.07	   POL(1_{3_1}(x_1)) = x_1
90.52/24.07	   POL(1_{4_1}(x_1)) = x_1
90.52/24.07	   POL(1_{5_1}(x_1)) = 1 + x_1
90.52/24.07	   POL(2_{0_1}(x_1)) = x_1
90.52/24.07	   POL(2_{1_1}(x_1)) = 1 + x_1
90.52/24.07	   POL(2_{2_1}(x_1)) = x_1
90.52/24.07	   POL(3_{0_1}(x_1)) = x_1
90.52/24.07	   POL(3_{1_1}(x_1)) = x_1
90.52/24.07	   POL(3_{2_1}(x_1)) = x_1
90.52/24.07	   POL(3_{3_1}(x_1)) = x_1
90.52/24.07	   POL(3_{4_1}(x_1)) = x_1
90.52/24.07	   POL(3_{5_1}(x_1)) = x_1
90.52/24.07	   POL(4_{0_1}(x_1)) = 2 + x_1
90.52/24.07	   POL(4_{1_1}(x_1)) = 2 + x_1
90.52/24.07	   POL(4_{2_1}(x_1)) = x_1
90.52/24.07	   POL(4_{3_1}(x_1)) = 2 + x_1
90.52/24.07	   POL(5_{0_1}(x_1)) = x_1
90.52/24.07	   POL(5_{2_1}(x_1)) = x_1
90.52/24.07	   POL(5_{3_1}(x_1)) = x_1
90.52/24.07	With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:
90.52/24.07	
90.52/24.07	   0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))
90.52/24.07	   0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))) -> 0_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(x1)))))
90.52/24.07	   0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(x1))))))
90.52/24.07	   0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 0_{3_1}(3_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{1_1}(x1))))))
90.52/24.07	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.07	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.07	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.07	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.07	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.07	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.07	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.07	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.07	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.07	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.07	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.07	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.07	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.07	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.07	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.07	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.07	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.07	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.07	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
90.52/24.07	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
90.52/24.07	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
90.52/24.07	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
90.52/24.07	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
90.52/24.07	   4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
90.52/24.07	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.07	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.07	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.52/24.07	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.52/24.07	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.52/24.07	   4_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 4_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.52/24.07	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.52/24.07	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.52/24.07	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.52/24.07	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.52/24.07	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.52/24.07	   4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.52/24.07	
90.52/24.07	
90.52/24.07	
90.52/24.07	
90.52/24.07	----------------------------------------
90.52/24.07	
90.52/24.07	(28)
90.52/24.07	Obligation:
90.52/24.07	Q restricted rewrite system:
90.52/24.07	The TRS R consists of the following rules:
90.52/24.07	
90.52/24.07	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.52/24.07	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.52/24.07	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.67/24.08	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.67/24.08	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.67/24.08	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.67/24.08	   4_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
90.67/24.08	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
90.67/24.08	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
90.67/24.08	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
90.67/24.08	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
90.67/24.08	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
90.67/24.09	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
90.67/24.09	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
90.67/24.09	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
90.67/24.09	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
90.67/24.09	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
90.67/24.09	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
90.67/24.09	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
90.67/24.09	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.67/24.09	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.67/24.09	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.67/24.09	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.67/24.09	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.67/24.09	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.67/24.09	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.67/24.09	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.67/24.09	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.67/24.09	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.67/24.09	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.67/24.09	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.67/24.09	   4_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
90.67/24.09	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.67/24.09	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.67/24.09	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.67/24.09	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.67/24.09	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.67/24.09	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.67/24.09	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.67/24.09	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.67/24.09	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.67/24.09	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.67/24.09	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.67/24.09	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.67/24.09	
90.67/24.09	Q is empty.
90.67/24.09	
90.67/24.09	----------------------------------------
90.67/24.09	
90.67/24.09	(29) QTRSRRRProof (EQUIVALENT)
90.67/24.09	Used ordering:
90.67/24.09	Polynomial interpretation [POLO]:
90.67/24.09	
90.67/24.09	   POL(0_{0_1}(x_1)) = x_1
90.67/24.09	   POL(0_{1_1}(x_1)) = x_1
90.67/24.09	   POL(0_{2_1}(x_1)) = x_1
90.67/24.09	   POL(0_{3_1}(x_1)) = x_1
90.67/24.09	   POL(0_{4_1}(x_1)) = x_1
90.67/24.09	   POL(1_{0_1}(x_1)) = x_1
90.67/24.09	   POL(1_{2_1}(x_1)) = x_1
90.67/24.09	   POL(1_{3_1}(x_1)) = x_1
90.67/24.09	   POL(1_{4_1}(x_1)) = x_1
90.67/24.09	   POL(1_{5_1}(x_1)) = x_1
90.67/24.09	   POL(2_{0_1}(x_1)) = x_1
90.67/24.09	   POL(2_{1_1}(x_1)) = x_1
90.67/24.09	   POL(2_{2_1}(x_1)) = x_1
90.67/24.09	   POL(3_{0_1}(x_1)) = x_1
90.67/24.09	   POL(3_{1_1}(x_1)) = x_1
90.67/24.09	   POL(3_{2_1}(x_1)) = x_1
90.67/24.09	   POL(3_{3_1}(x_1)) = x_1
90.67/24.09	   POL(3_{4_1}(x_1)) = x_1
90.67/24.09	   POL(3_{5_1}(x_1)) = x_1
90.67/24.09	   POL(4_{0_1}(x_1)) = 1 + x_1
90.67/24.09	   POL(4_{1_1}(x_1)) = x_1
90.67/24.09	   POL(4_{3_1}(x_1)) = x_1
90.67/24.09	   POL(5_{0_1}(x_1)) = x_1
90.67/24.09	   POL(5_{2_1}(x_1)) = x_1
90.67/24.09	   POL(5_{3_1}(x_1)) = x_1
90.67/24.09	With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:
90.67/24.09	
90.67/24.09	   4_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 4_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
90.67/24.09	   4_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1)))))) -> 4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
90.67/24.09	
90.67/24.09	
90.67/24.09	
90.67/24.09	
90.67/24.09	----------------------------------------
90.67/24.09	
90.67/24.09	(30)
90.67/24.09	Obligation:
90.67/24.09	Q restricted rewrite system:
90.67/24.09	The TRS R consists of the following rules:
90.67/24.09	
90.67/24.09	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.67/24.09	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.67/24.09	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.67/24.09	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.67/24.09	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.67/24.09	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.67/24.09	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
90.67/24.09	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
90.67/24.09	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
90.67/24.09	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
90.67/24.09	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
90.67/24.09	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
90.67/24.09	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
90.67/24.09	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
90.67/24.09	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
90.67/24.09	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
90.67/24.09	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
90.67/24.09	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
90.67/24.09	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.67/24.09	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.67/24.09	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.67/24.09	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.67/24.09	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.67/24.09	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.67/24.09	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.67/24.09	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.67/24.09	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.67/24.09	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.67/24.09	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.67/24.09	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.67/24.09	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.67/24.09	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.67/24.09	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.67/24.09	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.67/24.09	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.67/24.09	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.67/24.09	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.67/24.09	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.67/24.09	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.67/24.09	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.67/24.09	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.67/24.09	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.67/24.09	
90.67/24.09	Q is empty.
90.67/24.09	
90.67/24.09	----------------------------------------
90.67/24.09	
90.67/24.09	(31) QTRSRRRProof (EQUIVALENT)
90.67/24.09	Used ordering:
90.67/24.09	Polynomial interpretation [POLO]:
90.67/24.09	
90.67/24.09	   POL(0_{0_1}(x_1)) = x_1
90.67/24.09	   POL(0_{1_1}(x_1)) = x_1
90.67/24.09	   POL(0_{2_1}(x_1)) = x_1
90.67/24.09	   POL(0_{3_1}(x_1)) = x_1
90.67/24.09	   POL(0_{4_1}(x_1)) = x_1
90.67/24.09	   POL(1_{0_1}(x_1)) = x_1
90.67/24.09	   POL(1_{2_1}(x_1)) = 1 + x_1
90.67/24.09	   POL(1_{3_1}(x_1)) = x_1
90.67/24.09	   POL(1_{4_1}(x_1)) = x_1
90.67/24.09	   POL(1_{5_1}(x_1)) = x_1
90.67/24.09	   POL(2_{0_1}(x_1)) = x_1
90.67/24.09	   POL(2_{1_1}(x_1)) = x_1
90.67/24.09	   POL(3_{0_1}(x_1)) = x_1
90.67/24.09	   POL(3_{1_1}(x_1)) = x_1
90.67/24.09	   POL(3_{2_1}(x_1)) = x_1
90.67/24.09	   POL(3_{3_1}(x_1)) = x_1
90.67/24.09	   POL(3_{4_1}(x_1)) = x_1
90.67/24.09	   POL(3_{5_1}(x_1)) = x_1
90.67/24.09	   POL(4_{1_1}(x_1)) = x_1
90.67/24.09	   POL(4_{3_1}(x_1)) = x_1
90.67/24.09	   POL(5_{0_1}(x_1)) = x_1
90.67/24.09	   POL(5_{2_1}(x_1)) = x_1
90.67/24.09	   POL(5_{3_1}(x_1)) = x_1
90.67/24.09	With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:
90.67/24.09	
90.67/24.09	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.67/24.09	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.67/24.09	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.67/24.09	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.67/24.09	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.67/24.09	   0_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.67/24.09	
90.67/24.09	
90.67/24.09	
90.67/24.09	
90.67/24.09	----------------------------------------
90.67/24.09	
90.67/24.09	(32)
90.67/24.09	Obligation:
90.67/24.09	Q restricted rewrite system:
90.67/24.09	The TRS R consists of the following rules:
90.67/24.09	
90.67/24.09	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
90.67/24.09	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
90.67/24.09	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
90.67/24.09	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
90.67/24.09	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
90.67/24.09	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
90.67/24.09	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
90.67/24.09	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
90.67/24.09	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
90.67/24.09	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
90.67/24.09	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
90.67/24.09	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
90.67/24.09	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.67/24.09	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.67/24.09	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.67/24.09	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.67/24.09	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.67/24.09	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.67/24.09	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.67/24.09	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.67/24.09	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.67/24.09	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.67/24.09	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.67/24.09	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.67/24.09	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.67/24.09	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.67/24.09	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.67/24.09	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.67/24.09	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.67/24.10	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.67/24.10	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.67/24.10	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.67/24.10	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.67/24.10	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.67/24.10	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.67/24.10	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.67/24.10	
90.67/24.10	Q is empty.
90.67/24.10	
90.67/24.10	----------------------------------------
90.67/24.10	
90.67/24.10	(33) QTRSRRRProof (EQUIVALENT)
90.67/24.10	Used ordering:
90.67/24.10	Polynomial interpretation [POLO]:
90.67/24.10	
90.67/24.10	   POL(0_{0_1}(x_1)) = x_1
90.67/24.10	   POL(0_{1_1}(x_1)) = x_1
90.67/24.10	   POL(0_{3_1}(x_1)) = 1 + x_1
90.67/24.10	   POL(0_{4_1}(x_1)) = x_1
90.67/24.10	   POL(1_{0_1}(x_1)) = x_1
90.67/24.10	   POL(1_{3_1}(x_1)) = x_1
90.67/24.10	   POL(1_{4_1}(x_1)) = x_1
90.67/24.10	   POL(1_{5_1}(x_1)) = x_1
90.67/24.10	   POL(2_{0_1}(x_1)) = x_1
90.67/24.10	   POL(3_{0_1}(x_1)) = x_1
90.67/24.10	   POL(3_{1_1}(x_1)) = x_1
90.67/24.10	   POL(3_{2_1}(x_1)) = x_1
90.67/24.10	   POL(3_{3_1}(x_1)) = x_1
90.67/24.10	   POL(3_{4_1}(x_1)) = x_1
90.67/24.10	   POL(3_{5_1}(x_1)) = x_1
90.67/24.10	   POL(4_{1_1}(x_1)) = x_1
90.67/24.10	   POL(4_{3_1}(x_1)) = x_1
90.67/24.10	   POL(5_{0_1}(x_1)) = x_1
90.67/24.10	   POL(5_{2_1}(x_1)) = x_1
90.67/24.10	   POL(5_{3_1}(x_1)) = x_1
90.67/24.10	With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:
90.67/24.10	
90.67/24.10	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
90.67/24.10	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
90.67/24.10	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
90.67/24.10	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
90.67/24.10	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
90.67/24.10	   3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
90.67/24.10	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(x1)))))))
90.67/24.10	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{1_1}(x1)))))))
90.67/24.10	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{4_1}(x1)))))))
90.67/24.10	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(x1)))))))
90.67/24.10	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(x1)))))))
90.67/24.10	   5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{5_1}(5_{3_1}(3_{5_1}(x1)))))))
90.67/24.10	
90.67/24.10	
90.67/24.10	
90.67/24.10	
90.67/24.10	----------------------------------------
90.67/24.10	
90.67/24.10	(34)
90.67/24.10	Obligation:
90.67/24.10	Q restricted rewrite system:
90.67/24.10	The TRS R consists of the following rules:
90.67/24.10	
90.67/24.10	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.67/24.10	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.67/24.10	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.67/24.10	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.67/24.10	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.67/24.10	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.67/24.10	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.67/24.10	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.67/24.10	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.67/24.10	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.67/24.10	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.67/24.10	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.67/24.10	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.67/24.10	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.67/24.10	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.67/24.10	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.67/24.10	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.67/24.10	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.67/24.10	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.67/24.10	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.67/24.10	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.67/24.10	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.67/24.10	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.67/24.10	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.67/24.10	
90.67/24.10	Q is empty.
90.67/24.10	
90.67/24.10	----------------------------------------
90.67/24.10	
90.67/24.10	(35) QTRSRRRProof (EQUIVALENT)
90.67/24.10	Used ordering:
90.67/24.10	Polynomial interpretation [POLO]:
90.67/24.10	
90.67/24.10	   POL(0_{0_1}(x_1)) = x_1
90.67/24.10	   POL(0_{1_1}(x_1)) = x_1
90.67/24.10	   POL(0_{4_1}(x_1)) = x_1
90.67/24.10	   POL(1_{0_1}(x_1)) = x_1
90.67/24.10	   POL(1_{3_1}(x_1)) = x_1
90.67/24.10	   POL(1_{4_1}(x_1)) = 1 + x_1
90.67/24.10	   POL(2_{0_1}(x_1)) = x_1
90.67/24.10	   POL(3_{0_1}(x_1)) = x_1
90.67/24.10	   POL(3_{1_1}(x_1)) = x_1
90.67/24.10	   POL(3_{2_1}(x_1)) = x_1
90.67/24.10	   POL(3_{3_1}(x_1)) = x_1
90.67/24.10	   POL(3_{4_1}(x_1)) = x_1
90.67/24.10	   POL(3_{5_1}(x_1)) = x_1
90.67/24.10	   POL(4_{1_1}(x_1)) = x_1
90.67/24.10	   POL(4_{3_1}(x_1)) = x_1
90.67/24.10	   POL(5_{0_1}(x_1)) = x_1
90.67/24.10	   POL(5_{2_1}(x_1)) = x_1
90.67/24.10	With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:
90.67/24.10	
90.67/24.10	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.67/24.10	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.67/24.10	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.67/24.10	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.67/24.10	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.67/24.10	   3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 3_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.67/24.10	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1))))))
90.67/24.10	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1))))))
90.67/24.10	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1))))))
90.67/24.10	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1))))))
90.67/24.10	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1))))))
90.67/24.10	   5_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))) -> 5_{2_1}(2_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1))))))
90.67/24.10	
90.67/24.10	
90.67/24.10	
90.67/24.10	
90.67/24.10	----------------------------------------
90.67/24.10	
90.67/24.10	(36)
90.67/24.10	Obligation:
90.67/24.10	Q restricted rewrite system:
90.67/24.10	The TRS R consists of the following rules:
90.67/24.10	
90.67/24.10	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.67/24.10	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.67/24.10	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.67/24.10	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.67/24.10	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.67/24.10	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.67/24.10	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.67/24.10	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.67/24.10	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.67/24.10	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.67/24.10	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.67/24.10	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.67/24.10	
90.67/24.10	Q is empty.
90.67/24.10	
90.67/24.10	----------------------------------------
90.67/24.10	
90.67/24.10	(37) QTRSRRRProof (EQUIVALENT)
90.67/24.10	Used ordering:
90.67/24.10	Polynomial interpretation [POLO]:
90.67/24.10	
90.67/24.10	   POL(0_{0_1}(x_1)) = x_1
90.67/24.10	   POL(0_{1_1}(x_1)) = x_1
90.67/24.10	   POL(0_{4_1}(x_1)) = x_1
90.67/24.10	   POL(1_{0_1}(x_1)) = x_1
90.67/24.10	   POL(1_{3_1}(x_1)) = x_1
90.67/24.10	   POL(2_{0_1}(x_1)) = x_1
90.67/24.10	   POL(3_{0_1}(x_1)) = 1 + x_1
90.67/24.10	   POL(3_{1_1}(x_1)) = x_1
90.67/24.10	   POL(3_{2_1}(x_1)) = x_1
90.67/24.10	   POL(3_{3_1}(x_1)) = x_1
90.67/24.10	   POL(3_{4_1}(x_1)) = x_1
90.67/24.10	   POL(3_{5_1}(x_1)) = x_1
90.67/24.10	   POL(4_{1_1}(x_1)) = x_1
90.67/24.10	   POL(4_{3_1}(x_1)) = x_1
90.67/24.10	   POL(5_{0_1}(x_1)) = x_1
90.67/24.10	   POL(5_{2_1}(x_1)) = x_1
90.67/24.10	With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:
90.67/24.10	
90.67/24.10	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.67/24.10	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.67/24.10	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.67/24.10	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.67/24.10	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.67/24.10	   3_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 3_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.67/24.10	
90.67/24.10	
90.67/24.10	
90.67/24.10	
90.67/24.10	----------------------------------------
90.67/24.10	
90.67/24.10	(38)
90.67/24.10	Obligation:
90.67/24.10	Q restricted rewrite system:
90.67/24.10	The TRS R consists of the following rules:
90.67/24.10	
90.67/24.10	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.67/24.10	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.67/24.10	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.67/24.10	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.67/24.10	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.67/24.10	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.67/24.10	
90.67/24.10	Q is empty.
90.67/24.10	
90.67/24.10	----------------------------------------
90.67/24.10	
90.67/24.10	(39) QTRSRRRProof (EQUIVALENT)
90.67/24.10	Used ordering:
90.67/24.10	Polynomial interpretation [POLO]:
90.67/24.10	
90.67/24.10	   POL(0_{0_1}(x_1)) = x_1
90.67/24.10	   POL(0_{1_1}(x_1)) = 1 + x_1
90.67/24.10	   POL(0_{4_1}(x_1)) = x_1
90.67/24.10	   POL(1_{0_1}(x_1)) = x_1
90.67/24.10	   POL(1_{3_1}(x_1)) = x_1
90.67/24.10	   POL(2_{0_1}(x_1)) = x_1
90.67/24.10	   POL(3_{0_1}(x_1)) = x_1
90.67/24.10	   POL(3_{1_1}(x_1)) = x_1
90.67/24.10	   POL(3_{2_1}(x_1)) = x_1
90.67/24.10	   POL(3_{3_1}(x_1)) = x_1
90.67/24.10	   POL(3_{4_1}(x_1)) = x_1
90.67/24.10	   POL(3_{5_1}(x_1)) = x_1
90.67/24.10	   POL(4_{1_1}(x_1)) = x_1
90.67/24.10	   POL(4_{3_1}(x_1)) = x_1
90.67/24.10	   POL(5_{0_1}(x_1)) = x_1
90.67/24.10	   POL(5_{2_1}(x_1)) = x_1
90.67/24.10	With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:
90.67/24.10	
90.67/24.10	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{0_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(x1)))))))
90.67/24.10	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{1_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(x1)))))))
90.67/24.10	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{4_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(x1)))))))
90.67/24.10	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{2_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{2_1}(x1)))))))
90.67/24.10	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(x1)))))))
90.67/24.10	   5_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(x1)))))) -> 5_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{5_1}(x1)))))))
90.67/24.10	
90.67/24.10	
90.67/24.10	
90.67/24.10	
90.67/24.10	----------------------------------------
90.67/24.10	
90.67/24.10	(40)
90.67/24.10	Obligation:
90.67/24.10	Q restricted rewrite system:
90.67/24.10	R is empty.
90.67/24.10	Q is empty.
90.67/24.10	
90.67/24.10	----------------------------------------
90.67/24.10	
90.67/24.10	(41) RisEmptyProof (EQUIVALENT)
90.67/24.10	The TRS R is empty. Hence, termination is trivially proven.
90.67/24.10	----------------------------------------
90.67/24.10	
90.67/24.10	(42)
90.67/24.10	YES
90.96/24.19	EOF