21.55/6.46	YES
21.55/6.51	proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
21.55/6.51	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
21.55/6.51	
21.55/6.51	
21.55/6.51	Termination w.r.t. Q of the given QTRS could be proven:
21.55/6.51	
21.55/6.51	(0) QTRS
21.55/6.51	(1) QTRS Reverse [EQUIVALENT, 0 ms]
21.55/6.51	(2) QTRS
21.55/6.51	(3) FlatCCProof [EQUIVALENT, 0 ms]
21.55/6.51	(4) QTRS
21.55/6.51	(5) RootLabelingProof [EQUIVALENT, 16 ms]
21.55/6.51	(6) QTRS
21.55/6.51	(7) QTRSRRRProof [EQUIVALENT, 431 ms]
21.55/6.51	(8) QTRS
21.55/6.51	(9) QTRSRRRProof [EQUIVALENT, 109 ms]
21.55/6.51	(10) QTRS
21.55/6.51	(11) QTRSRRRProof [EQUIVALENT, 6 ms]
21.55/6.51	(12) QTRS
21.55/6.51	(13) QTRSRRRProof [EQUIVALENT, 5 ms]
21.55/6.51	(14) QTRS
21.55/6.51	(15) QTRSRRRProof [EQUIVALENT, 11 ms]
21.55/6.51	(16) QTRS
21.55/6.51	(17) QTRSRRRProof [EQUIVALENT, 1 ms]
21.55/6.51	(18) QTRS
21.55/6.51	(19) RisEmptyProof [EQUIVALENT, 0 ms]
21.55/6.51	(20) YES
21.55/6.51	
21.55/6.51	
21.55/6.51	----------------------------------------
21.55/6.51	
21.55/6.51	(0)
21.55/6.51	Obligation:
21.55/6.51	Q restricted rewrite system:
21.55/6.51	The TRS R consists of the following rules:
21.55/6.51	
21.55/6.51	   0(0(1(0(2(x1))))) -> 0(0(1(2(2(x1)))))
21.55/6.51	   0(0(1(0(2(x1))))) -> 0(0(2(1(2(x1)))))
21.55/6.51	   0(0(1(0(2(x1))))) -> 0(1(0(2(2(x1)))))
21.55/6.51	   0(0(1(0(2(x1))))) -> 0(1(1(2(2(x1)))))
21.55/6.51	   0(0(1(0(2(x1))))) -> 0(1(2(0(2(x1)))))
21.55/6.51	   0(0(1(0(2(x1))))) -> 0(1(2(2(0(x1)))))
21.55/6.51	   0(0(1(0(2(x1))))) -> 0(1(2(2(2(x1)))))
21.55/6.51	   0(0(1(0(2(x1))))) -> 0(2(1(0(2(x1)))))
21.55/6.51	   0(0(1(0(2(x1))))) -> 0(2(1(2(2(x1)))))
21.55/6.51	   0(0(1(0(2(x1))))) -> 0(2(2(1(0(x1)))))
21.55/6.51	   0(0(1(0(2(x1))))) -> 0(2(2(1(2(x1)))))
21.55/6.51	   0(0(1(0(2(x1))))) -> 1(0(0(2(2(x1)))))
21.55/6.51	   0(0(1(0(2(x1))))) -> 1(0(2(0(2(x1)))))
21.55/6.51	   0(0(1(0(2(x1))))) -> 1(0(2(2(0(x1)))))
21.55/6.51	   0(0(1(0(2(x1))))) -> 1(0(2(2(2(x1)))))
21.55/6.51	   0(0(1(0(2(x1))))) -> 1(1(0(2(2(x1)))))
21.55/6.51	   0(0(1(0(2(x1))))) -> 1(2(0(2(2(x1)))))
21.55/6.51	   0(0(1(0(2(x1))))) -> 1(2(1(0(2(x1)))))
21.55/6.51	   0(0(1(0(2(x1))))) -> 1(2(2(0(2(x1)))))
21.55/6.51	   0(0(1(0(2(x1))))) -> 1(2(2(2(0(x1)))))
21.55/6.51	   0(0(1(0(2(x1))))) -> 2(1(0(2(2(x1)))))
21.55/6.51	   0(0(1(0(2(x1))))) -> 2(2(1(0(2(x1)))))
21.55/6.51	   0(0(1(0(2(x1))))) -> 2(2(2(1(0(x1)))))
21.55/6.51	   0(1(2(0(2(x1))))) -> 0(1(0(2(2(x1)))))
21.55/6.51	   0(1(2(0(2(x1))))) -> 0(1(1(2(2(x1)))))
21.55/6.51	   0(1(2(0(2(x1))))) -> 0(1(2(2(2(x1)))))
21.55/6.51	   0(1(2(0(2(x1))))) -> 0(2(1(0(2(x1)))))
21.55/6.51	   0(1(2(0(2(x1))))) -> 0(2(1(2(2(x1)))))
21.55/6.51	   0(1(2(0(2(x1))))) -> 0(2(2(1(0(x1)))))
21.55/6.51	   0(1(2(0(2(x1))))) -> 0(2(2(1(2(x1)))))
21.55/6.51	   0(1(2(0(2(x1))))) -> 1(0(2(2(2(x1)))))
21.55/6.51	   0(1(2(0(2(x1))))) -> 1(2(0(2(2(x1)))))
21.55/6.51	   0(1(2(0(2(x1))))) -> 1(2(2(0(2(x1)))))
21.55/6.51	   0(1(2(0(2(x1))))) -> 1(2(2(2(0(x1)))))
21.55/6.51	   1(0(1(0(2(x1))))) -> 0(1(2(2(2(x1)))))
21.55/6.51	   1(0(1(0(2(x1))))) -> 0(2(1(2(2(x1)))))
21.55/6.51	   1(0(1(0(2(x1))))) -> 1(0(0(2(2(x1)))))
21.55/6.51	   1(0(1(0(2(x1))))) -> 1(0(1(2(2(x1)))))
21.55/6.51	   1(0(1(0(2(x1))))) -> 1(0(2(0(2(x1)))))
21.55/6.51	   1(0(1(0(2(x1))))) -> 1(0(2(1(2(x1)))))
21.55/6.51	   1(0(1(0(2(x1))))) -> 1(0(2(2(0(x1)))))
21.55/6.51	   1(0(1(0(2(x1))))) -> 1(0(2(2(2(x1)))))
21.55/6.51	   1(0(1(0(2(x1))))) -> 1(1(0(2(2(x1)))))
21.55/6.51	   1(0(1(0(2(x1))))) -> 1(2(0(2(2(x1)))))
21.55/6.51	   1(0(1(0(2(x1))))) -> 1(2(1(0(2(x1)))))
21.55/6.51	   1(0(1(0(2(x1))))) -> 1(2(2(0(2(x1)))))
21.55/6.51	   1(0(1(0(2(x1))))) -> 1(2(2(2(0(x1)))))
21.55/6.51	   1(0(1(0(2(x1))))) -> 2(0(1(2(2(x1)))))
21.55/6.51	   1(0(1(0(2(x1))))) -> 2(0(2(1(2(x1)))))
21.55/6.51	   1(0(1(0(2(x1))))) -> 2(1(0(2(2(x1)))))
21.55/6.51	   1(0(1(0(2(x1))))) -> 2(1(2(0(2(x1)))))
21.55/6.51	   1(0(1(0(2(x1))))) -> 2(1(2(2(0(x1)))))
21.55/6.51	   1(0(1(0(2(x1))))) -> 2(2(0(1(2(x1)))))
21.55/6.51	   1(0(1(0(2(x1))))) -> 2(2(1(0(2(x1)))))
21.55/6.51	   1(0(1(0(2(x1))))) -> 2(2(1(2(0(x1)))))
21.55/6.51	   1(0(1(0(2(x1))))) -> 2(2(2(1(0(x1)))))
21.55/6.51	   1(0(2(0(2(x1))))) -> 1(0(2(2(2(x1)))))
21.55/6.51	   1(0(2(0(2(x1))))) -> 1(2(0(2(2(x1)))))
21.55/6.51	   1(0(2(0(2(x1))))) -> 1(2(2(0(2(x1)))))
21.55/6.51	   1(0(2(0(2(x1))))) -> 1(2(2(2(0(x1)))))
21.55/6.51	   1(0(2(0(2(x1))))) -> 2(1(0(2(2(x1)))))
21.55/6.51	   1(0(2(0(2(x1))))) -> 2(2(1(0(2(x1)))))
21.55/6.51	   1(1(2(0(2(x1))))) -> 0(1(2(2(2(x1)))))
21.55/6.51	   1(1(2(0(2(x1))))) -> 0(2(1(2(2(x1)))))
21.55/6.51	   1(1(2(0(2(x1))))) -> 0(2(2(1(2(x1)))))
21.55/6.51	   1(1(2(0(2(x1))))) -> 1(0(0(2(2(x1)))))
21.55/6.51	   1(1(2(0(2(x1))))) -> 1(0(1(2(2(x1)))))
21.55/6.51	   1(1(2(0(2(x1))))) -> 1(0(2(0(2(x1)))))
21.55/6.51	   1(1(2(0(2(x1))))) -> 1(0(2(1(2(x1)))))
21.55/6.51	   1(1(2(0(2(x1))))) -> 1(0(2(2(0(x1)))))
21.55/6.51	   1(1(2(0(2(x1))))) -> 1(0(2(2(2(x1)))))
21.55/6.51	   1(1(2(0(2(x1))))) -> 1(1(0(2(2(x1)))))
21.55/6.51	   1(1(2(0(2(x1))))) -> 1(2(0(2(2(x1)))))
21.55/6.51	   1(1(2(0(2(x1))))) -> 1(2(1(0(2(x1)))))
21.55/6.51	   1(1(2(0(2(x1))))) -> 1(2(2(0(2(x1)))))
21.55/6.51	   1(1(2(0(2(x1))))) -> 1(2(2(2(0(x1)))))
21.55/6.51	   1(1(2(0(2(x1))))) -> 2(0(1(2(2(x1)))))
21.55/6.51	   1(1(2(0(2(x1))))) -> 2(1(0(2(2(x1)))))
21.55/6.51	   1(1(2(0(2(x1))))) -> 2(1(2(0(2(x1)))))
21.55/6.51	   1(1(2(0(2(x1))))) -> 2(2(0(1(2(x1)))))
21.55/6.51	   1(1(2(0(2(x1))))) -> 2(2(1(0(2(x1)))))
21.55/6.51	   1(1(2(0(2(x1))))) -> 2(2(2(1(0(x1)))))
21.55/6.51	   1(2(2(0(2(x1))))) -> 1(0(2(2(2(x1)))))
21.55/6.51	   2(0(1(0(2(x1))))) -> 2(0(1(2(2(x1)))))
21.55/6.51	   2(0(1(0(2(x1))))) -> 2(0(2(1(2(x1)))))
21.55/6.51	   2(0(1(0(2(x1))))) -> 2(1(0(2(2(x1)))))
21.55/6.51	   2(0(1(0(2(x1))))) -> 2(1(2(0(2(x1)))))
21.55/6.51	   2(0(1(0(2(x1))))) -> 2(1(2(2(0(x1)))))
21.55/6.51	   2(0(1(0(2(x1))))) -> 2(2(0(1(2(x1)))))
21.55/6.51	   2(0(1(0(2(x1))))) -> 2(2(1(0(2(x1)))))
21.55/6.51	   2(0(1(0(2(x1))))) -> 2(2(1(2(0(x1)))))
21.55/6.51	   2(0(1(0(2(x1))))) -> 2(2(2(1(0(x1)))))
21.55/6.51	   2(1(1(0(2(x1))))) -> 2(0(1(0(2(x1)))))
21.55/6.51	   2(1(1(0(2(x1))))) -> 2(0(2(1(2(x1)))))
21.55/6.51	   2(1(1(0(2(x1))))) -> 2(1(2(0(2(x1)))))
21.55/6.51	   2(1(1(0(2(x1))))) -> 2(2(1(0(2(x1)))))
21.55/6.51	   2(1(2(0(2(x1))))) -> 2(0(1(2(2(x1)))))
21.55/6.51	   2(1(2(0(2(x1))))) -> 2(1(0(2(2(x1)))))
21.55/6.51	   2(1(2(0(2(x1))))) -> 2(2(1(0(2(x1)))))
21.55/6.51	   2(1(2(0(2(x1))))) -> 2(2(2(1(0(x1)))))
21.55/6.51	
21.55/6.51	Q is empty.
21.55/6.51	
21.55/6.51	----------------------------------------
21.55/6.51	
21.55/6.51	(1) QTRS Reverse (EQUIVALENT)
21.55/6.51	We applied the QTRS Reverse Processor [REVERSE].
21.55/6.51	----------------------------------------
21.55/6.51	
21.55/6.51	(2)
21.55/6.51	Obligation:
21.55/6.51	Q restricted rewrite system:
21.55/6.51	The TRS R consists of the following rules:
21.55/6.51	
21.55/6.51	   2(0(1(0(0(x1))))) -> 2(2(1(0(0(x1)))))
21.55/6.51	   2(0(1(0(0(x1))))) -> 2(1(2(0(0(x1)))))
21.55/6.51	   2(0(1(0(0(x1))))) -> 2(2(0(1(0(x1)))))
21.55/6.51	   2(0(1(0(0(x1))))) -> 2(2(1(1(0(x1)))))
21.55/6.51	   2(0(1(0(0(x1))))) -> 2(0(2(1(0(x1)))))
21.55/6.51	   2(0(1(0(0(x1))))) -> 0(2(2(1(0(x1)))))
21.55/6.51	   2(0(1(0(0(x1))))) -> 2(2(2(1(0(x1)))))
21.55/6.51	   2(0(1(0(0(x1))))) -> 2(0(1(2(0(x1)))))
21.55/6.51	   2(0(1(0(0(x1))))) -> 2(2(1(2(0(x1)))))
21.55/6.51	   2(0(1(0(0(x1))))) -> 0(1(2(2(0(x1)))))
21.55/6.51	   2(0(1(0(0(x1))))) -> 2(1(2(2(0(x1)))))
21.55/6.51	   2(0(1(0(0(x1))))) -> 2(2(0(0(1(x1)))))
21.55/6.51	   2(0(1(0(0(x1))))) -> 2(0(2(0(1(x1)))))
21.55/6.51	   2(0(1(0(0(x1))))) -> 0(2(2(0(1(x1)))))
21.55/6.51	   2(0(1(0(0(x1))))) -> 2(2(2(0(1(x1)))))
21.55/6.51	   2(0(1(0(0(x1))))) -> 2(2(0(1(1(x1)))))
21.55/6.51	   2(0(1(0(0(x1))))) -> 2(2(0(2(1(x1)))))
21.55/6.51	   2(0(1(0(0(x1))))) -> 2(0(1(2(1(x1)))))
21.55/6.51	   2(0(1(0(0(x1))))) -> 2(0(2(2(1(x1)))))
21.55/6.51	   2(0(1(0(0(x1))))) -> 0(2(2(2(1(x1)))))
21.55/6.51	   2(0(1(0(0(x1))))) -> 2(2(0(1(2(x1)))))
21.55/6.51	   2(0(1(0(0(x1))))) -> 2(0(1(2(2(x1)))))
21.55/6.51	   2(0(1(0(0(x1))))) -> 0(1(2(2(2(x1)))))
21.55/6.51	   2(0(2(1(0(x1))))) -> 2(2(0(1(0(x1)))))
21.55/6.51	   2(0(2(1(0(x1))))) -> 2(2(1(1(0(x1)))))
21.55/6.51	   2(0(2(1(0(x1))))) -> 2(2(2(1(0(x1)))))
21.55/6.51	   2(0(2(1(0(x1))))) -> 2(0(1(2(0(x1)))))
21.55/6.51	   2(0(2(1(0(x1))))) -> 2(2(1(2(0(x1)))))
21.55/6.51	   2(0(2(1(0(x1))))) -> 0(1(2(2(0(x1)))))
21.55/6.51	   2(0(2(1(0(x1))))) -> 2(1(2(2(0(x1)))))
21.55/6.51	   2(0(2(1(0(x1))))) -> 2(2(2(0(1(x1)))))
21.55/6.51	   2(0(2(1(0(x1))))) -> 2(2(0(2(1(x1)))))
21.55/6.51	   2(0(2(1(0(x1))))) -> 2(0(2(2(1(x1)))))
21.55/6.51	   2(0(2(1(0(x1))))) -> 0(2(2(2(1(x1)))))
21.55/6.51	   2(0(1(0(1(x1))))) -> 2(2(2(1(0(x1)))))
21.55/6.51	   2(0(1(0(1(x1))))) -> 2(2(1(2(0(x1)))))
21.55/6.51	   2(0(1(0(1(x1))))) -> 2(2(0(0(1(x1)))))
21.55/6.51	   2(0(1(0(1(x1))))) -> 2(2(1(0(1(x1)))))
21.55/6.51	   2(0(1(0(1(x1))))) -> 2(0(2(0(1(x1)))))
21.55/6.51	   2(0(1(0(1(x1))))) -> 2(1(2(0(1(x1)))))
21.55/6.51	   2(0(1(0(1(x1))))) -> 0(2(2(0(1(x1)))))
21.55/6.51	   2(0(1(0(1(x1))))) -> 2(2(2(0(1(x1)))))
21.55/6.51	   2(0(1(0(1(x1))))) -> 2(2(0(1(1(x1)))))
21.55/6.51	   2(0(1(0(1(x1))))) -> 2(2(0(2(1(x1)))))
21.55/6.51	   2(0(1(0(1(x1))))) -> 2(0(1(2(1(x1)))))
21.55/6.51	   2(0(1(0(1(x1))))) -> 2(0(2(2(1(x1)))))
21.55/6.51	   2(0(1(0(1(x1))))) -> 0(2(2(2(1(x1)))))
21.55/6.51	   2(0(1(0(1(x1))))) -> 2(2(1(0(2(x1)))))
21.55/6.51	   2(0(1(0(1(x1))))) -> 2(1(2(0(2(x1)))))
21.55/6.51	   2(0(1(0(1(x1))))) -> 2(2(0(1(2(x1)))))
21.55/6.51	   2(0(1(0(1(x1))))) -> 2(0(2(1(2(x1)))))
21.55/6.51	   2(0(1(0(1(x1))))) -> 0(2(2(1(2(x1)))))
21.55/6.51	   2(0(1(0(1(x1))))) -> 2(1(0(2(2(x1)))))
21.55/6.51	   2(0(1(0(1(x1))))) -> 2(0(1(2(2(x1)))))
21.55/6.51	   2(0(1(0(1(x1))))) -> 0(2(1(2(2(x1)))))
21.55/6.51	   2(0(1(0(1(x1))))) -> 0(1(2(2(2(x1)))))
21.55/6.51	   2(0(2(0(1(x1))))) -> 2(2(2(0(1(x1)))))
21.55/6.51	   2(0(2(0(1(x1))))) -> 2(2(0(2(1(x1)))))
21.55/6.51	   2(0(2(0(1(x1))))) -> 2(0(2(2(1(x1)))))
21.55/6.51	   2(0(2(0(1(x1))))) -> 0(2(2(2(1(x1)))))
21.55/6.51	   2(0(2(0(1(x1))))) -> 2(2(0(1(2(x1)))))
21.55/6.51	   2(0(2(0(1(x1))))) -> 2(0(1(2(2(x1)))))
21.55/6.51	   2(0(2(1(1(x1))))) -> 2(2(2(1(0(x1)))))
21.55/6.51	   2(0(2(1(1(x1))))) -> 2(2(1(2(0(x1)))))
21.55/6.51	   2(0(2(1(1(x1))))) -> 2(1(2(2(0(x1)))))
21.55/6.51	   2(0(2(1(1(x1))))) -> 2(2(0(0(1(x1)))))
21.55/6.51	   2(0(2(1(1(x1))))) -> 2(2(1(0(1(x1)))))
21.55/6.51	   2(0(2(1(1(x1))))) -> 2(0(2(0(1(x1)))))
21.55/6.51	   2(0(2(1(1(x1))))) -> 2(1(2(0(1(x1)))))
21.55/6.51	   2(0(2(1(1(x1))))) -> 0(2(2(0(1(x1)))))
21.55/6.51	   2(0(2(1(1(x1))))) -> 2(2(2(0(1(x1)))))
21.55/6.51	   2(0(2(1(1(x1))))) -> 2(2(0(1(1(x1)))))
21.55/6.51	   2(0(2(1(1(x1))))) -> 2(2(0(2(1(x1)))))
21.55/6.51	   2(0(2(1(1(x1))))) -> 2(0(1(2(1(x1)))))
21.55/6.51	   2(0(2(1(1(x1))))) -> 2(0(2(2(1(x1)))))
21.55/6.51	   2(0(2(1(1(x1))))) -> 0(2(2(2(1(x1)))))
21.55/6.51	   2(0(2(1(1(x1))))) -> 2(2(1(0(2(x1)))))
21.55/6.51	   2(0(2(1(1(x1))))) -> 2(2(0(1(2(x1)))))
21.55/6.51	   2(0(2(1(1(x1))))) -> 2(0(2(1(2(x1)))))
21.55/6.51	   2(0(2(1(1(x1))))) -> 2(1(0(2(2(x1)))))
21.55/6.51	   2(0(2(1(1(x1))))) -> 2(0(1(2(2(x1)))))
21.55/6.51	   2(0(2(1(1(x1))))) -> 0(1(2(2(2(x1)))))
21.55/6.51	   2(0(2(2(1(x1))))) -> 2(2(2(0(1(x1)))))
21.55/6.51	   2(0(1(0(2(x1))))) -> 2(2(1(0(2(x1)))))
21.55/6.51	   2(0(1(0(2(x1))))) -> 2(1(2(0(2(x1)))))
21.55/6.51	   2(0(1(0(2(x1))))) -> 2(2(0(1(2(x1)))))
21.55/6.51	   2(0(1(0(2(x1))))) -> 2(0(2(1(2(x1)))))
21.55/6.51	   2(0(1(0(2(x1))))) -> 0(2(2(1(2(x1)))))
21.55/6.51	   2(0(1(0(2(x1))))) -> 2(1(0(2(2(x1)))))
21.55/6.51	   2(0(1(0(2(x1))))) -> 2(0(1(2(2(x1)))))
21.55/6.51	   2(0(1(0(2(x1))))) -> 0(2(1(2(2(x1)))))
21.55/6.51	   2(0(1(0(2(x1))))) -> 0(1(2(2(2(x1)))))
21.55/6.51	   2(0(1(1(2(x1))))) -> 2(0(1(0(2(x1)))))
21.55/6.51	   2(0(1(1(2(x1))))) -> 2(1(2(0(2(x1)))))
21.55/6.51	   2(0(1(1(2(x1))))) -> 2(0(2(1(2(x1)))))
21.55/6.51	   2(0(1(1(2(x1))))) -> 2(0(1(2(2(x1)))))
21.55/6.51	   2(0(2(1(2(x1))))) -> 2(2(1(0(2(x1)))))
21.55/6.51	   2(0(2(1(2(x1))))) -> 2(2(0(1(2(x1)))))
21.55/6.51	   2(0(2(1(2(x1))))) -> 2(0(1(2(2(x1)))))
21.55/6.51	   2(0(2(1(2(x1))))) -> 0(1(2(2(2(x1)))))
21.55/6.51	
21.55/6.51	Q is empty.
21.55/6.51	
21.55/6.51	----------------------------------------
21.55/6.51	
21.55/6.51	(3) FlatCCProof (EQUIVALENT)
21.55/6.51	We used flat context closure [ROOTLAB]
21.55/6.51	As Q is empty the flat context closure was sound AND complete.
21.55/6.51	
21.55/6.51	----------------------------------------
21.55/6.51	
21.55/6.51	(4)
21.55/6.51	Obligation:
21.55/6.51	Q restricted rewrite system:
21.55/6.51	The TRS R consists of the following rules:
21.55/6.51	
21.55/6.51	   2(0(1(0(0(x1))))) -> 2(2(1(0(0(x1)))))
21.55/6.51	   2(0(1(0(0(x1))))) -> 2(1(2(0(0(x1)))))
21.55/6.51	   2(0(1(0(0(x1))))) -> 2(2(0(1(0(x1)))))
21.55/6.51	   2(0(1(0(0(x1))))) -> 2(2(1(1(0(x1)))))
21.55/6.51	   2(0(1(0(0(x1))))) -> 2(0(2(1(0(x1)))))
21.55/6.51	   2(0(1(0(0(x1))))) -> 2(2(2(1(0(x1)))))
21.55/6.51	   2(0(1(0(0(x1))))) -> 2(0(1(2(0(x1)))))
21.55/6.51	   2(0(1(0(0(x1))))) -> 2(2(1(2(0(x1)))))
21.55/6.51	   2(0(1(0(0(x1))))) -> 2(1(2(2(0(x1)))))
21.55/6.51	   2(0(1(0(0(x1))))) -> 2(2(0(0(1(x1)))))
21.55/6.51	   2(0(1(0(0(x1))))) -> 2(0(2(0(1(x1)))))
21.55/6.51	   2(0(1(0(0(x1))))) -> 2(2(2(0(1(x1)))))
21.55/6.51	   2(0(1(0(0(x1))))) -> 2(2(0(1(1(x1)))))
21.55/6.51	   2(0(1(0(0(x1))))) -> 2(2(0(2(1(x1)))))
21.55/6.51	   2(0(1(0(0(x1))))) -> 2(0(1(2(1(x1)))))
21.55/6.51	   2(0(1(0(0(x1))))) -> 2(0(2(2(1(x1)))))
21.55/6.51	   2(0(1(0(0(x1))))) -> 2(2(0(1(2(x1)))))
21.55/6.51	   2(0(1(0(0(x1))))) -> 2(0(1(2(2(x1)))))
21.55/6.51	   2(0(2(1(0(x1))))) -> 2(2(0(1(0(x1)))))
21.55/6.51	   2(0(2(1(0(x1))))) -> 2(2(1(1(0(x1)))))
21.55/6.51	   2(0(2(1(0(x1))))) -> 2(2(2(1(0(x1)))))
21.55/6.51	   2(0(2(1(0(x1))))) -> 2(0(1(2(0(x1)))))
21.55/6.51	   2(0(2(1(0(x1))))) -> 2(2(1(2(0(x1)))))
21.55/6.51	   2(0(2(1(0(x1))))) -> 2(1(2(2(0(x1)))))
21.55/6.51	   2(0(2(1(0(x1))))) -> 2(2(2(0(1(x1)))))
21.55/6.51	   2(0(2(1(0(x1))))) -> 2(2(0(2(1(x1)))))
21.55/6.51	   2(0(2(1(0(x1))))) -> 2(0(2(2(1(x1)))))
21.55/6.51	   2(0(1(0(1(x1))))) -> 2(2(2(1(0(x1)))))
21.55/6.51	   2(0(1(0(1(x1))))) -> 2(2(1(2(0(x1)))))
21.55/6.51	   2(0(1(0(1(x1))))) -> 2(2(0(0(1(x1)))))
21.55/6.51	   2(0(1(0(1(x1))))) -> 2(2(1(0(1(x1)))))
21.55/6.51	   2(0(1(0(1(x1))))) -> 2(0(2(0(1(x1)))))
21.55/6.51	   2(0(1(0(1(x1))))) -> 2(1(2(0(1(x1)))))
21.55/6.51	   2(0(1(0(1(x1))))) -> 2(2(2(0(1(x1)))))
21.55/6.51	   2(0(1(0(1(x1))))) -> 2(2(0(1(1(x1)))))
21.55/6.51	   2(0(1(0(1(x1))))) -> 2(2(0(2(1(x1)))))
21.55/6.51	   2(0(1(0(1(x1))))) -> 2(0(1(2(1(x1)))))
21.55/6.51	   2(0(1(0(1(x1))))) -> 2(0(2(2(1(x1)))))
21.55/6.51	   2(0(1(0(1(x1))))) -> 2(2(1(0(2(x1)))))
21.55/6.51	   2(0(1(0(1(x1))))) -> 2(1(2(0(2(x1)))))
21.55/6.51	   2(0(1(0(1(x1))))) -> 2(2(0(1(2(x1)))))
21.55/6.51	   2(0(1(0(1(x1))))) -> 2(0(2(1(2(x1)))))
21.55/6.51	   2(0(1(0(1(x1))))) -> 2(1(0(2(2(x1)))))
21.55/6.51	   2(0(1(0(1(x1))))) -> 2(0(1(2(2(x1)))))
21.55/6.51	   2(0(2(0(1(x1))))) -> 2(2(2(0(1(x1)))))
21.55/6.51	   2(0(2(0(1(x1))))) -> 2(2(0(2(1(x1)))))
21.55/6.51	   2(0(2(0(1(x1))))) -> 2(0(2(2(1(x1)))))
21.55/6.51	   2(0(2(0(1(x1))))) -> 2(2(0(1(2(x1)))))
21.55/6.51	   2(0(2(0(1(x1))))) -> 2(0(1(2(2(x1)))))
21.55/6.51	   2(0(2(1(1(x1))))) -> 2(2(2(1(0(x1)))))
21.55/6.51	   2(0(2(1(1(x1))))) -> 2(2(1(2(0(x1)))))
21.55/6.51	   2(0(2(1(1(x1))))) -> 2(1(2(2(0(x1)))))
21.55/6.51	   2(0(2(1(1(x1))))) -> 2(2(0(0(1(x1)))))
21.55/6.51	   2(0(2(1(1(x1))))) -> 2(2(1(0(1(x1)))))
21.55/6.51	   2(0(2(1(1(x1))))) -> 2(0(2(0(1(x1)))))
21.55/6.51	   2(0(2(1(1(x1))))) -> 2(1(2(0(1(x1)))))
21.55/6.51	   2(0(2(1(1(x1))))) -> 2(2(2(0(1(x1)))))
21.55/6.51	   2(0(2(1(1(x1))))) -> 2(2(0(1(1(x1)))))
21.55/6.51	   2(0(2(1(1(x1))))) -> 2(2(0(2(1(x1)))))
21.55/6.51	   2(0(2(1(1(x1))))) -> 2(0(1(2(1(x1)))))
21.55/6.51	   2(0(2(1(1(x1))))) -> 2(0(2(2(1(x1)))))
21.55/6.51	   2(0(2(1(1(x1))))) -> 2(2(1(0(2(x1)))))
21.55/6.51	   2(0(2(1(1(x1))))) -> 2(2(0(1(2(x1)))))
21.55/6.51	   2(0(2(1(1(x1))))) -> 2(0(2(1(2(x1)))))
21.55/6.51	   2(0(2(1(1(x1))))) -> 2(1(0(2(2(x1)))))
21.55/6.51	   2(0(2(1(1(x1))))) -> 2(0(1(2(2(x1)))))
21.55/6.51	   2(0(2(2(1(x1))))) -> 2(2(2(0(1(x1)))))
21.55/6.51	   2(0(1(0(2(x1))))) -> 2(2(1(0(2(x1)))))
21.55/6.51	   2(0(1(0(2(x1))))) -> 2(1(2(0(2(x1)))))
21.55/6.51	   2(0(1(0(2(x1))))) -> 2(2(0(1(2(x1)))))
21.55/6.51	   2(0(1(0(2(x1))))) -> 2(0(2(1(2(x1)))))
21.55/6.51	   2(0(1(0(2(x1))))) -> 2(1(0(2(2(x1)))))
21.55/6.51	   2(0(1(0(2(x1))))) -> 2(0(1(2(2(x1)))))
21.55/6.51	   2(0(1(1(2(x1))))) -> 2(0(1(0(2(x1)))))
21.55/6.51	   2(0(1(1(2(x1))))) -> 2(1(2(0(2(x1)))))
21.55/6.51	   2(0(1(1(2(x1))))) -> 2(0(2(1(2(x1)))))
21.55/6.51	   2(0(1(1(2(x1))))) -> 2(0(1(2(2(x1)))))
21.55/6.51	   2(0(2(1(2(x1))))) -> 2(2(1(0(2(x1)))))
21.55/6.51	   2(0(2(1(2(x1))))) -> 2(2(0(1(2(x1)))))
21.55/6.51	   2(0(2(1(2(x1))))) -> 2(0(1(2(2(x1)))))
21.55/6.51	   2(2(0(1(0(0(x1)))))) -> 2(0(2(2(1(0(x1))))))
21.55/6.51	   0(2(0(1(0(0(x1)))))) -> 0(0(2(2(1(0(x1))))))
21.55/6.51	   1(2(0(1(0(0(x1)))))) -> 1(0(2(2(1(0(x1))))))
21.55/6.51	   2(2(0(1(0(0(x1)))))) -> 2(0(1(2(2(0(x1))))))
21.55/6.51	   0(2(0(1(0(0(x1)))))) -> 0(0(1(2(2(0(x1))))))
21.55/6.51	   1(2(0(1(0(0(x1)))))) -> 1(0(1(2(2(0(x1))))))
21.55/6.51	   2(2(0(1(0(0(x1)))))) -> 2(0(2(2(0(1(x1))))))
21.55/6.51	   0(2(0(1(0(0(x1)))))) -> 0(0(2(2(0(1(x1))))))
21.55/6.51	   1(2(0(1(0(0(x1)))))) -> 1(0(2(2(0(1(x1))))))
21.55/6.51	   2(2(0(1(0(0(x1)))))) -> 2(0(2(2(2(1(x1))))))
21.55/6.51	   0(2(0(1(0(0(x1)))))) -> 0(0(2(2(2(1(x1))))))
21.55/6.51	   1(2(0(1(0(0(x1)))))) -> 1(0(2(2(2(1(x1))))))
21.55/6.51	   2(2(0(1(0(0(x1)))))) -> 2(0(1(2(2(2(x1))))))
21.55/6.51	   0(2(0(1(0(0(x1)))))) -> 0(0(1(2(2(2(x1))))))
21.55/6.51	   1(2(0(1(0(0(x1)))))) -> 1(0(1(2(2(2(x1))))))
21.55/6.51	   2(2(0(2(1(0(x1)))))) -> 2(0(1(2(2(0(x1))))))
21.55/6.51	   0(2(0(2(1(0(x1)))))) -> 0(0(1(2(2(0(x1))))))
21.55/6.51	   1(2(0(2(1(0(x1)))))) -> 1(0(1(2(2(0(x1))))))
21.55/6.51	   2(2(0(2(1(0(x1)))))) -> 2(0(2(2(2(1(x1))))))
21.55/6.51	   0(2(0(2(1(0(x1)))))) -> 0(0(2(2(2(1(x1))))))
21.55/6.51	   1(2(0(2(1(0(x1)))))) -> 1(0(2(2(2(1(x1))))))
21.55/6.51	   2(2(0(1(0(1(x1)))))) -> 2(0(2(2(0(1(x1))))))
21.55/6.51	   0(2(0(1(0(1(x1)))))) -> 0(0(2(2(0(1(x1))))))
21.55/6.51	   1(2(0(1(0(1(x1)))))) -> 1(0(2(2(0(1(x1))))))
21.55/6.51	   2(2(0(1(0(1(x1)))))) -> 2(0(2(2(2(1(x1))))))
21.55/6.51	   0(2(0(1(0(1(x1)))))) -> 0(0(2(2(2(1(x1))))))
21.55/6.51	   1(2(0(1(0(1(x1)))))) -> 1(0(2(2(2(1(x1))))))
21.55/6.51	   2(2(0(1(0(1(x1)))))) -> 2(0(2(2(1(2(x1))))))
21.55/6.51	   0(2(0(1(0(1(x1)))))) -> 0(0(2(2(1(2(x1))))))
21.55/6.51	   1(2(0(1(0(1(x1)))))) -> 1(0(2(2(1(2(x1))))))
21.55/6.51	   2(2(0(1(0(1(x1)))))) -> 2(0(2(1(2(2(x1))))))
21.55/6.51	   0(2(0(1(0(1(x1)))))) -> 0(0(2(1(2(2(x1))))))
21.55/6.51	   1(2(0(1(0(1(x1)))))) -> 1(0(2(1(2(2(x1))))))
21.55/6.51	   2(2(0(1(0(1(x1)))))) -> 2(0(1(2(2(2(x1))))))
21.55/6.51	   0(2(0(1(0(1(x1)))))) -> 0(0(1(2(2(2(x1))))))
21.55/6.51	   1(2(0(1(0(1(x1)))))) -> 1(0(1(2(2(2(x1))))))
21.55/6.51	   2(2(0(2(0(1(x1)))))) -> 2(0(2(2(2(1(x1))))))
21.55/6.51	   0(2(0(2(0(1(x1)))))) -> 0(0(2(2(2(1(x1))))))
21.55/6.51	   1(2(0(2(0(1(x1)))))) -> 1(0(2(2(2(1(x1))))))
21.55/6.51	   2(2(0(2(1(1(x1)))))) -> 2(0(2(2(0(1(x1))))))
21.55/6.51	   0(2(0(2(1(1(x1)))))) -> 0(0(2(2(0(1(x1))))))
21.55/6.51	   1(2(0(2(1(1(x1)))))) -> 1(0(2(2(0(1(x1))))))
21.55/6.51	   2(2(0(2(1(1(x1)))))) -> 2(0(2(2(2(1(x1))))))
21.55/6.51	   0(2(0(2(1(1(x1)))))) -> 0(0(2(2(2(1(x1))))))
21.55/6.51	   1(2(0(2(1(1(x1)))))) -> 1(0(2(2(2(1(x1))))))
21.55/6.51	   2(2(0(2(1(1(x1)))))) -> 2(0(1(2(2(2(x1))))))
21.55/6.51	   0(2(0(2(1(1(x1)))))) -> 0(0(1(2(2(2(x1))))))
21.55/6.51	   1(2(0(2(1(1(x1)))))) -> 1(0(1(2(2(2(x1))))))
21.55/6.51	   2(2(0(1(0(2(x1)))))) -> 2(0(2(2(1(2(x1))))))
21.55/6.51	   0(2(0(1(0(2(x1)))))) -> 0(0(2(2(1(2(x1))))))
21.55/6.51	   1(2(0(1(0(2(x1)))))) -> 1(0(2(2(1(2(x1))))))
21.55/6.51	   2(2(0(1(0(2(x1)))))) -> 2(0(2(1(2(2(x1))))))
21.55/6.51	   0(2(0(1(0(2(x1)))))) -> 0(0(2(1(2(2(x1))))))
21.55/6.51	   1(2(0(1(0(2(x1)))))) -> 1(0(2(1(2(2(x1))))))
21.55/6.51	   2(2(0(1(0(2(x1)))))) -> 2(0(1(2(2(2(x1))))))
21.55/6.51	   0(2(0(1(0(2(x1)))))) -> 0(0(1(2(2(2(x1))))))
21.55/6.51	   1(2(0(1(0(2(x1)))))) -> 1(0(1(2(2(2(x1))))))
21.55/6.51	   2(2(0(2(1(2(x1)))))) -> 2(0(1(2(2(2(x1))))))
21.55/6.51	   0(2(0(2(1(2(x1)))))) -> 0(0(1(2(2(2(x1))))))
21.55/6.51	   1(2(0(2(1(2(x1)))))) -> 1(0(1(2(2(2(x1))))))
21.55/6.51	
21.55/6.51	Q is empty.
21.55/6.51	
21.55/6.51	----------------------------------------
21.55/6.51	
21.55/6.51	(5) RootLabelingProof (EQUIVALENT)
21.55/6.51	We used plain root labeling [ROOTLAB] with the following heuristic:
21.55/6.51	LabelAll: All function symbols get labeled
21.55/6.51	
21.55/6.51	As Q is empty the root labeling was sound AND complete.
21.55/6.51	
21.55/6.51	----------------------------------------
21.55/6.51	
21.55/6.51	(6)
21.55/6.51	Obligation:
21.55/6.51	Q restricted rewrite system:
21.55/6.51	The TRS R consists of the following rules:
21.55/6.51	
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1)))))
21.55/6.51	   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_{2_1}(x1)))))
21.55/6.51	   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}(x1)))))
21.55/6.51	   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_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1))))) -> 2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1))))) -> 2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1))))) -> 2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1))))) -> 2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1))))) -> 2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1))))) -> 2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x1)))))
21.55/6.51	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1))))) -> 2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1))))) -> 2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1))))) -> 2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(x1)))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(x1))))))
21.55/6.52	
21.55/6.52	Q is empty.
21.55/6.52	
21.55/6.52	----------------------------------------
21.55/6.52	
21.55/6.52	(7) QTRSRRRProof (EQUIVALENT)
21.55/6.52	Used ordering:
21.55/6.52	Polynomial interpretation [POLO]:
21.55/6.52	
21.55/6.52	   POL(0_{0_1}(x_1)) = 1 + x_1
21.55/6.52	   POL(0_{1_1}(x_1)) = x_1
21.55/6.52	   POL(0_{2_1}(x_1)) = x_1
21.55/6.52	   POL(1_{0_1}(x_1)) = 1 + x_1
21.55/6.52	   POL(1_{1_1}(x_1)) = 1 + x_1
21.55/6.52	   POL(1_{2_1}(x_1)) = x_1
21.55/6.52	   POL(2_{0_1}(x_1)) = 1 + x_1
21.55/6.52	   POL(2_{1_1}(x_1)) = x_1
21.55/6.52	   POL(2_{2_1}(x_1)) = x_1
21.55/6.52	With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:
21.55/6.52	
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1)))))
21.55/6.52	   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_{2_1}(x1)))))
21.55/6.52	   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}(x1)))))
21.55/6.52	   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_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1))))) -> 2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1))))) -> 2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1))))) -> 2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1))))) -> 2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1))))) -> 2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1))))) -> 2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1))))) -> 2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1))))) -> 2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1))))) -> 2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(x1))))) -> 2_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(x1)))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(x1))))))
21.55/6.52	
21.55/6.52	
21.55/6.52	
21.55/6.52	
21.55/6.52	----------------------------------------
21.55/6.52	
21.55/6.52	(8)
21.55/6.52	Obligation:
21.55/6.52	Q restricted rewrite system:
21.55/6.52	The TRS R consists of the following rules:
21.55/6.52	
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(x1)))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(x1))))))
21.55/6.52	
21.55/6.52	Q is empty.
21.55/6.52	
21.55/6.52	----------------------------------------
21.55/6.52	
21.55/6.52	(9) QTRSRRRProof (EQUIVALENT)
21.55/6.52	Used ordering:
21.55/6.52	Polynomial interpretation [POLO]:
21.55/6.52	
21.55/6.52	   POL(0_{0_1}(x_1)) = x_1
21.55/6.52	   POL(0_{1_1}(x_1)) = x_1
21.55/6.52	   POL(0_{2_1}(x_1)) = x_1
21.55/6.52	   POL(1_{0_1}(x_1)) = 1 + x_1
21.55/6.52	   POL(1_{1_1}(x_1)) = x_1
21.55/6.52	   POL(1_{2_1}(x_1)) = 1 + x_1
21.55/6.52	   POL(2_{0_1}(x_1)) = x_1
21.55/6.52	   POL(2_{1_1}(x_1)) = x_1
21.55/6.52	   POL(2_{2_1}(x_1)) = x_1
21.55/6.52	With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:
21.55/6.52	
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(x1)))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1))))))
21.55/6.52	
21.55/6.52	
21.55/6.52	
21.55/6.52	
21.55/6.52	----------------------------------------
21.55/6.52	
21.55/6.52	(10)
21.55/6.52	Obligation:
21.55/6.52	Q restricted rewrite system:
21.55/6.52	The TRS R consists of the following rules:
21.55/6.52	
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(x1)))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(x1))))))
21.55/6.52	
21.55/6.52	Q is empty.
21.55/6.52	
21.55/6.52	----------------------------------------
21.55/6.52	
21.55/6.52	(11) QTRSRRRProof (EQUIVALENT)
21.55/6.52	Used ordering:
21.55/6.52	Polynomial interpretation [POLO]:
21.55/6.52	
21.55/6.52	   POL(0_{0_1}(x_1)) = x_1
21.55/6.52	   POL(0_{1_1}(x_1)) = x_1
21.55/6.52	   POL(0_{2_1}(x_1)) = x_1
21.55/6.52	   POL(1_{0_1}(x_1)) = 1 + x_1
21.55/6.52	   POL(1_{1_1}(x_1)) = 1 + x_1
21.55/6.52	   POL(1_{2_1}(x_1)) = x_1
21.55/6.52	   POL(2_{0_1}(x_1)) = 1 + x_1
21.55/6.52	   POL(2_{1_1}(x_1)) = x_1
21.55/6.52	   POL(2_{2_1}(x_1)) = x_1
21.55/6.52	With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:
21.55/6.52	
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x1)))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1)))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(x1))))))
21.55/6.52	
21.55/6.52	
21.55/6.52	
21.55/6.52	
21.55/6.52	----------------------------------------
21.55/6.52	
21.55/6.52	(12)
21.55/6.52	Obligation:
21.55/6.52	Q restricted rewrite system:
21.55/6.52	The TRS R consists of the following rules:
21.55/6.52	
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(x1)))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(x1))))))
21.55/6.52	
21.55/6.52	Q is empty.
21.55/6.52	
21.55/6.52	----------------------------------------
21.55/6.52	
21.55/6.52	(13) QTRSRRRProof (EQUIVALENT)
21.55/6.52	Used ordering:
21.55/6.52	Polynomial interpretation [POLO]:
21.55/6.52	
21.55/6.52	   POL(0_{0_1}(x_1)) = x_1
21.55/6.52	   POL(0_{1_1}(x_1)) = x_1
21.55/6.52	   POL(0_{2_1}(x_1)) = 1 + x_1
21.55/6.52	   POL(1_{0_1}(x_1)) = x_1
21.55/6.52	   POL(1_{1_1}(x_1)) = x_1
21.55/6.52	   POL(1_{2_1}(x_1)) = 1 + x_1
21.55/6.52	   POL(2_{0_1}(x_1)) = x_1
21.55/6.52	   POL(2_{1_1}(x_1)) = x_1
21.55/6.52	   POL(2_{2_1}(x_1)) = x_1
21.55/6.52	With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:
21.55/6.52	
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(x1))))) -> 2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x1))))) -> 2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(x1)))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1)))))) -> 1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(x1))))))
21.55/6.52	   1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(x1))))))
21.55/6.52	
21.55/6.52	
21.55/6.52	
21.55/6.52	
21.55/6.52	----------------------------------------
21.55/6.52	
21.55/6.52	(14)
21.55/6.52	Obligation:
21.55/6.52	Q restricted rewrite system:
21.55/6.52	The TRS R consists of the following rules:
21.55/6.52	
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1))))))
21.55/6.52	
21.55/6.52	Q is empty.
21.55/6.52	
21.55/6.52	----------------------------------------
21.55/6.52	
21.55/6.52	(15) QTRSRRRProof (EQUIVALENT)
21.55/6.52	Used ordering:
21.55/6.52	Polynomial interpretation [POLO]:
21.55/6.52	
21.55/6.52	   POL(0_{0_1}(x_1)) = x_1
21.55/6.52	   POL(0_{1_1}(x_1)) = x_1
21.55/6.52	   POL(0_{2_1}(x_1)) = x_1
21.55/6.52	   POL(1_{0_1}(x_1)) = x_1
21.55/6.52	   POL(1_{1_1}(x_1)) = 1 + x_1
21.55/6.52	   POL(1_{2_1}(x_1)) = x_1
21.55/6.52	   POL(2_{0_1}(x_1)) = x_1
21.55/6.52	   POL(2_{1_1}(x_1)) = x_1
21.55/6.52	   POL(2_{2_1}(x_1)) = x_1
21.55/6.52	With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:
21.55/6.52	
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1)))))) -> 2_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1))))))
21.55/6.52	
21.55/6.52	
21.55/6.52	
21.55/6.52	
21.55/6.52	----------------------------------------
21.55/6.52	
21.55/6.52	(16)
21.55/6.52	Obligation:
21.55/6.52	Q restricted rewrite system:
21.55/6.52	The TRS R consists of the following rules:
21.55/6.52	
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1)))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
21.55/6.52	
21.55/6.52	Q is empty.
21.55/6.52	
21.55/6.52	----------------------------------------
21.55/6.52	
21.55/6.52	(17) QTRSRRRProof (EQUIVALENT)
21.55/6.52	Used ordering:
21.55/6.52	Polynomial interpretation [POLO]:
21.55/6.52	
21.55/6.52	   POL(0_{0_1}(x_1)) = x_1
21.55/6.52	   POL(0_{1_1}(x_1)) = x_1
21.55/6.52	   POL(0_{2_1}(x_1)) = x_1
21.55/6.52	   POL(1_{0_1}(x_1)) = x_1
21.55/6.52	   POL(1_{2_1}(x_1)) = x_1
21.55/6.52	   POL(2_{0_1}(x_1)) = x_1
21.55/6.52	   POL(2_{1_1}(x_1)) = 1 + x_1
21.55/6.52	   POL(2_{2_1}(x_1)) = x_1
21.55/6.52	With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:
21.55/6.52	
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1)))))
21.55/6.52	   2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1)))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(x1))))))
21.55/6.52	   2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(x1))))))
21.55/6.52	
21.55/6.52	
21.55/6.52	
21.55/6.52	
21.55/6.52	----------------------------------------
21.55/6.52	
21.55/6.52	(18)
21.55/6.52	Obligation:
21.55/6.52	Q restricted rewrite system:
21.55/6.52	R is empty.
21.55/6.52	Q is empty.
21.55/6.52	
21.55/6.52	----------------------------------------
21.55/6.52	
21.55/6.52	(19) RisEmptyProof (EQUIVALENT)
21.55/6.52	The TRS R is empty. Hence, termination is trivially proven.
21.55/6.52	----------------------------------------
21.55/6.52	
21.55/6.52	(20)
21.55/6.52	YES
22.20/6.77	EOF