72.64/19.68	YES
72.93/19.72	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
72.93/19.72	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
72.93/19.72	
72.93/19.72	
72.93/19.72	Termination w.r.t. Q of the given QTRS could be proven:
72.93/19.72	
72.93/19.72	(0) QTRS
72.93/19.72	(1) FlatCCProof [EQUIVALENT, 0 ms]
72.93/19.72	(2) QTRS
72.93/19.72	(3) RootLabelingProof [EQUIVALENT, 0 ms]
72.93/19.72	(4) QTRS
72.93/19.72	(5) QTRSRRRProof [EQUIVALENT, 846 ms]
72.93/19.72	(6) QTRS
72.93/19.72	(7) QTRSRRRProof [EQUIVALENT, 156 ms]
72.93/19.72	(8) QTRS
72.93/19.72	(9) QTRSRRRProof [EQUIVALENT, 101 ms]
72.93/19.72	(10) QTRS
72.93/19.72	(11) QTRSRRRProof [EQUIVALENT, 95 ms]
72.93/19.72	(12) QTRS
72.93/19.72	(13) QTRSRRRProof [EQUIVALENT, 9 ms]
72.93/19.72	(14) QTRS
72.93/19.72	(15) QTRSRRRProof [EQUIVALENT, 62 ms]
72.93/19.72	(16) QTRS
72.93/19.72	(17) QTRSRRRProof [EQUIVALENT, 53 ms]
72.93/19.72	(18) QTRS
72.93/19.72	(19) QTRSRRRProof [EQUIVALENT, 18 ms]
72.93/19.72	(20) QTRS
72.93/19.72	(21) QTRSRRRProof [EQUIVALENT, 25 ms]
72.93/19.72	(22) QTRS
72.93/19.72	(23) QTRSRRRProof [EQUIVALENT, 2 ms]
72.93/19.72	(24) QTRS
72.93/19.72	(25) QTRSRRRProof [EQUIVALENT, 0 ms]
72.93/19.72	(26) QTRS
72.93/19.72	(27) QTRSRRRProof [EQUIVALENT, 2 ms]
72.93/19.72	(28) QTRS
72.93/19.72	(29) QTRSRRRProof [EQUIVALENT, 2 ms]
72.93/19.72	(30) QTRS
72.93/19.72	(31) QTRSRRRProof [EQUIVALENT, 1 ms]
72.93/19.72	(32) QTRS
72.93/19.72	(33) QTRSRRRProof [EQUIVALENT, 0 ms]
72.93/19.72	(34) QTRS
72.93/19.72	(35) RisEmptyProof [EQUIVALENT, 0 ms]
72.93/19.72	(36) YES
72.93/19.72	
72.93/19.72	
72.93/19.72	----------------------------------------
72.93/19.72	
72.93/19.72	(0)
72.93/19.72	Obligation:
72.93/19.72	Q restricted rewrite system:
72.93/19.72	The TRS R consists of the following rules:
72.93/19.72	
72.93/19.72	   0(4(x1)) -> 0(1(4(2(3(3(x1))))))
72.93/19.72	   0(4(x1)) -> 0(2(1(4(3(4(x1))))))
72.93/19.72	   0(0(4(x1))) -> 1(1(5(2(3(4(x1))))))
72.93/19.72	   0(1(1(x1))) -> 0(2(2(1(1(1(x1))))))
72.93/19.72	   0(1(3(x1))) -> 0(2(4(3(4(4(x1))))))
72.93/19.72	   0(2(4(x1))) -> 1(5(4(3(4(4(x1))))))
72.93/19.72	   0(4(0(x1))) -> 0(1(2(1(0(3(x1))))))
72.93/19.72	   1(2(3(x1))) -> 5(1(4(1(4(4(x1))))))
72.93/19.72	   1(3(3(x1))) -> 0(2(1(1(0(5(x1))))))
72.93/19.72	   1(3(3(x1))) -> 5(4(0(3(2(3(x1))))))
72.93/19.72	   1(3(5(x1))) -> 1(1(4(3(3(2(x1))))))
72.93/19.72	   2(0(0(x1))) -> 2(4(3(4(4(4(x1))))))
72.93/19.72	   2(0(1(x1))) -> 2(1(5(1(0(1(x1))))))
72.93/19.72	   2(0(1(x1))) -> 2(4(3(5(2(3(x1))))))
72.93/19.72	   2(0(4(x1))) -> 2(0(2(1(4(3(x1))))))
72.93/19.72	   2(0(4(x1))) -> 2(4(1(4(3(1(x1))))))
72.93/19.72	   3(0(1(x1))) -> 3(1(4(3(4(1(x1))))))
72.93/19.72	   3(0(5(x1))) -> 3(1(0(2(3(2(x1))))))
72.93/19.72	   4(0(0(x1))) -> 2(5(2(1(1(1(x1))))))
72.93/19.72	   4(0(5(x1))) -> 4(1(4(5(1(4(x1))))))
72.93/19.72	   4(0(5(x1))) -> 4(2(1(4(3(5(x1))))))
72.93/19.72	   5(0(2(x1))) -> 1(5(2(1(0(2(x1))))))
72.93/19.72	   5(0(4(x1))) -> 1(0(3(2(4(4(x1))))))
72.93/19.72	   5(0(4(x1))) -> 1(5(1(0(3(4(x1))))))
72.93/19.72	
72.93/19.72	Q is empty.
72.93/19.72	
72.93/19.72	----------------------------------------
72.93/19.72	
72.93/19.72	(1) FlatCCProof (EQUIVALENT)
72.93/19.72	We used flat context closure [ROOTLAB]
72.93/19.72	As Q is empty the flat context closure was sound AND complete.
72.93/19.72	
72.93/19.72	----------------------------------------
72.93/19.72	
72.93/19.72	(2)
72.93/19.72	Obligation:
72.93/19.72	Q restricted rewrite system:
72.93/19.72	The TRS R consists of the following rules:
72.93/19.72	
72.93/19.72	   0(4(x1)) -> 0(1(4(2(3(3(x1))))))
72.93/19.72	   0(4(x1)) -> 0(2(1(4(3(4(x1))))))
72.93/19.72	   0(1(1(x1))) -> 0(2(2(1(1(1(x1))))))
72.93/19.72	   0(1(3(x1))) -> 0(2(4(3(4(4(x1))))))
72.93/19.72	   0(4(0(x1))) -> 0(1(2(1(0(3(x1))))))
72.93/19.72	   1(3(5(x1))) -> 1(1(4(3(3(2(x1))))))
72.93/19.72	   2(0(0(x1))) -> 2(4(3(4(4(4(x1))))))
72.93/19.72	   2(0(1(x1))) -> 2(1(5(1(0(1(x1))))))
72.93/19.72	   2(0(1(x1))) -> 2(4(3(5(2(3(x1))))))
72.93/19.72	   2(0(4(x1))) -> 2(0(2(1(4(3(x1))))))
72.93/19.72	   2(0(4(x1))) -> 2(4(1(4(3(1(x1))))))
72.93/19.72	   3(0(1(x1))) -> 3(1(4(3(4(1(x1))))))
72.93/19.72	   3(0(5(x1))) -> 3(1(0(2(3(2(x1))))))
72.93/19.72	   4(0(5(x1))) -> 4(1(4(5(1(4(x1))))))
72.93/19.72	   4(0(5(x1))) -> 4(2(1(4(3(5(x1))))))
72.93/19.72	   0(0(0(4(x1)))) -> 0(1(1(5(2(3(4(x1)))))))
72.93/19.72	   4(0(0(4(x1)))) -> 4(1(1(5(2(3(4(x1)))))))
72.93/19.72	   1(0(0(4(x1)))) -> 1(1(1(5(2(3(4(x1)))))))
72.93/19.72	   2(0(0(4(x1)))) -> 2(1(1(5(2(3(4(x1)))))))
72.93/19.72	   3(0(0(4(x1)))) -> 3(1(1(5(2(3(4(x1)))))))
72.93/19.72	   5(0(0(4(x1)))) -> 5(1(1(5(2(3(4(x1)))))))
72.93/19.72	   0(0(2(4(x1)))) -> 0(1(5(4(3(4(4(x1)))))))
72.93/19.72	   4(0(2(4(x1)))) -> 4(1(5(4(3(4(4(x1)))))))
72.93/19.72	   1(0(2(4(x1)))) -> 1(1(5(4(3(4(4(x1)))))))
72.93/19.72	   2(0(2(4(x1)))) -> 2(1(5(4(3(4(4(x1)))))))
72.93/19.72	   3(0(2(4(x1)))) -> 3(1(5(4(3(4(4(x1)))))))
72.93/19.72	   5(0(2(4(x1)))) -> 5(1(5(4(3(4(4(x1)))))))
72.93/19.72	   0(1(2(3(x1)))) -> 0(5(1(4(1(4(4(x1)))))))
72.93/19.72	   4(1(2(3(x1)))) -> 4(5(1(4(1(4(4(x1)))))))
72.93/19.72	   1(1(2(3(x1)))) -> 1(5(1(4(1(4(4(x1)))))))
72.93/19.72	   2(1(2(3(x1)))) -> 2(5(1(4(1(4(4(x1)))))))
72.93/19.72	   3(1(2(3(x1)))) -> 3(5(1(4(1(4(4(x1)))))))
72.93/19.72	   5(1(2(3(x1)))) -> 5(5(1(4(1(4(4(x1)))))))
72.93/19.72	   0(1(3(3(x1)))) -> 0(0(2(1(1(0(5(x1)))))))
72.93/19.72	   4(1(3(3(x1)))) -> 4(0(2(1(1(0(5(x1)))))))
72.93/19.72	   1(1(3(3(x1)))) -> 1(0(2(1(1(0(5(x1)))))))
72.93/19.72	   2(1(3(3(x1)))) -> 2(0(2(1(1(0(5(x1)))))))
72.93/19.72	   3(1(3(3(x1)))) -> 3(0(2(1(1(0(5(x1)))))))
72.93/19.72	   5(1(3(3(x1)))) -> 5(0(2(1(1(0(5(x1)))))))
72.93/19.72	   0(1(3(3(x1)))) -> 0(5(4(0(3(2(3(x1)))))))
72.93/19.72	   4(1(3(3(x1)))) -> 4(5(4(0(3(2(3(x1)))))))
72.93/19.72	   1(1(3(3(x1)))) -> 1(5(4(0(3(2(3(x1)))))))
72.93/19.72	   2(1(3(3(x1)))) -> 2(5(4(0(3(2(3(x1)))))))
72.93/19.72	   3(1(3(3(x1)))) -> 3(5(4(0(3(2(3(x1)))))))
72.93/19.72	   5(1(3(3(x1)))) -> 5(5(4(0(3(2(3(x1)))))))
72.93/19.72	   0(4(0(0(x1)))) -> 0(2(5(2(1(1(1(x1)))))))
72.93/19.72	   4(4(0(0(x1)))) -> 4(2(5(2(1(1(1(x1)))))))
72.93/19.72	   1(4(0(0(x1)))) -> 1(2(5(2(1(1(1(x1)))))))
72.93/19.72	   2(4(0(0(x1)))) -> 2(2(5(2(1(1(1(x1)))))))
72.93/19.72	   3(4(0(0(x1)))) -> 3(2(5(2(1(1(1(x1)))))))
72.93/19.72	   5(4(0(0(x1)))) -> 5(2(5(2(1(1(1(x1)))))))
72.93/19.72	   0(5(0(2(x1)))) -> 0(1(5(2(1(0(2(x1)))))))
72.93/19.72	   4(5(0(2(x1)))) -> 4(1(5(2(1(0(2(x1)))))))
72.93/19.72	   1(5(0(2(x1)))) -> 1(1(5(2(1(0(2(x1)))))))
72.93/19.72	   2(5(0(2(x1)))) -> 2(1(5(2(1(0(2(x1)))))))
72.93/19.72	   3(5(0(2(x1)))) -> 3(1(5(2(1(0(2(x1)))))))
72.93/19.72	   5(5(0(2(x1)))) -> 5(1(5(2(1(0(2(x1)))))))
72.93/19.72	   0(5(0(4(x1)))) -> 0(1(0(3(2(4(4(x1)))))))
72.93/19.72	   4(5(0(4(x1)))) -> 4(1(0(3(2(4(4(x1)))))))
72.93/19.72	   1(5(0(4(x1)))) -> 1(1(0(3(2(4(4(x1)))))))
72.93/19.72	   2(5(0(4(x1)))) -> 2(1(0(3(2(4(4(x1)))))))
72.93/19.72	   3(5(0(4(x1)))) -> 3(1(0(3(2(4(4(x1)))))))
72.93/19.72	   5(5(0(4(x1)))) -> 5(1(0(3(2(4(4(x1)))))))
72.93/19.72	   0(5(0(4(x1)))) -> 0(1(5(1(0(3(4(x1)))))))
72.93/19.72	   4(5(0(4(x1)))) -> 4(1(5(1(0(3(4(x1)))))))
72.93/19.72	   1(5(0(4(x1)))) -> 1(1(5(1(0(3(4(x1)))))))
72.93/19.72	   2(5(0(4(x1)))) -> 2(1(5(1(0(3(4(x1)))))))
72.93/19.72	   3(5(0(4(x1)))) -> 3(1(5(1(0(3(4(x1)))))))
72.93/19.72	   5(5(0(4(x1)))) -> 5(1(5(1(0(3(4(x1)))))))
72.93/19.72	
72.93/19.72	Q is empty.
72.93/19.72	
72.93/19.72	----------------------------------------
72.93/19.72	
72.93/19.72	(3) RootLabelingProof (EQUIVALENT)
72.93/19.72	We used plain root labeling [ROOTLAB] with the following heuristic:
72.93/19.72	LabelAll: All function symbols get labeled
72.93/19.72	
72.93/19.72	As Q is empty the root labeling was sound AND complete.
72.93/19.72	
72.93/19.72	----------------------------------------
72.93/19.72	
72.93/19.72	(4)
72.93/19.72	Obligation:
72.93/19.72	Q restricted rewrite system:
72.93/19.72	The TRS R consists of the following rules:
72.93/19.72	
72.93/19.72	   0_{4_1}(4_{0_1}(x1)) -> 0_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(x1))))))
72.93/19.72	   0_{4_1}(4_{4_1}(x1)) -> 0_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(x1))))))
72.93/19.72	   0_{4_1}(4_{1_1}(x1)) -> 0_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(x1))))))
72.93/19.72	   0_{4_1}(4_{2_1}(x1)) -> 0_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(x1))))))
72.93/19.72	   0_{4_1}(4_{3_1}(x1)) -> 0_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{3_1}(x1))))))
72.93/19.72	   0_{4_1}(4_{5_1}(x1)) -> 0_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{5_1}(x1))))))
72.93/19.72	   0_{4_1}(4_{0_1}(x1)) -> 0_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{0_1}(x1))))))
72.93/19.72	   0_{4_1}(4_{4_1}(x1)) -> 0_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(x1))))))
72.93/19.72	   0_{4_1}(4_{1_1}(x1)) -> 0_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(x1))))))
72.93/19.72	   0_{4_1}(4_{2_1}(x1)) -> 0_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{2_1}(x1))))))
72.93/19.72	   0_{4_1}(4_{3_1}(x1)) -> 0_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(x1))))))
72.93/19.72	   0_{4_1}(4_{5_1}(x1)) -> 0_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(x1))))))
72.93/19.72	   0_{1_1}(1_{1_1}(1_{0_1}(x1))) -> 0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(x1))))))
72.93/19.72	   0_{1_1}(1_{1_1}(1_{4_1}(x1))) -> 0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(x1))))))
72.93/19.72	   0_{1_1}(1_{1_1}(1_{1_1}(x1))) -> 0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(x1))))))
72.93/19.72	   0_{1_1}(1_{1_1}(1_{2_1}(x1))) -> 0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(x1))))))
72.93/19.72	   0_{1_1}(1_{1_1}(1_{3_1}(x1))) -> 0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{3_1}(x1))))))
72.93/19.72	   0_{1_1}(1_{1_1}(1_{5_1}(x1))) -> 0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{5_1}(x1))))))
72.93/19.72	   0_{1_1}(1_{3_1}(3_{0_1}(x1))) -> 0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{0_1}(x1))))))
72.93/19.72	   0_{1_1}(1_{3_1}(3_{4_1}(x1))) -> 0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(x1))))))
72.93/19.72	   0_{1_1}(1_{3_1}(3_{1_1}(x1))) -> 0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{1_1}(x1))))))
72.93/19.72	   0_{1_1}(1_{3_1}(3_{2_1}(x1))) -> 0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(x1))))))
72.93/19.72	   0_{1_1}(1_{3_1}(3_{3_1}(x1))) -> 0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(x1))))))
72.93/19.72	   0_{1_1}(1_{3_1}(3_{5_1}(x1))) -> 0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(x1))))))
72.93/19.72	   0_{4_1}(4_{0_1}(0_{0_1}(x1))) -> 0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))))
72.93/19.72	   0_{4_1}(4_{0_1}(0_{4_1}(x1))) -> 0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))))
72.93/19.72	   0_{4_1}(4_{0_1}(0_{1_1}(x1))) -> 0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))))
72.93/19.72	   0_{4_1}(4_{0_1}(0_{2_1}(x1))) -> 0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))))
72.93/19.72	   0_{4_1}(4_{0_1}(0_{3_1}(x1))) -> 0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))))
72.93/19.72	   0_{4_1}(4_{0_1}(0_{5_1}(x1))) -> 0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))))
72.93/19.72	   1_{3_1}(3_{5_1}(5_{0_1}(x1))) -> 1_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{2_1}(2_{0_1}(x1))))))
72.93/19.72	   1_{3_1}(3_{5_1}(5_{4_1}(x1))) -> 1_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(x1))))))
72.93/19.72	   1_{3_1}(3_{5_1}(5_{1_1}(x1))) -> 1_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(x1))))))
72.93/19.72	   1_{3_1}(3_{5_1}(5_{2_1}(x1))) -> 1_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(x1))))))
72.93/19.72	   1_{3_1}(3_{5_1}(5_{3_1}(x1))) -> 1_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(x1))))))
72.93/19.72	   1_{3_1}(3_{5_1}(5_{5_1}(x1))) -> 1_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{2_1}(2_{5_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{0_1}(0_{0_1}(x1))) -> 2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(4_{0_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{0_1}(0_{4_1}(x1))) -> 2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(4_{4_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{0_1}(0_{1_1}(x1))) -> 2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(4_{1_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{0_1}(0_{2_1}(x1))) -> 2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{0_1}(0_{3_1}(x1))) -> 2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(4_{3_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{0_1}(0_{5_1}(x1))) -> 2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(4_{5_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{1_1}(1_{0_1}(x1))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{1_1}(1_{4_1}(x1))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{1_1}(1_{1_1}(x1))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{1_1}(1_{2_1}(x1))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{1_1}(1_{3_1}(x1))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{1_1}(1_{5_1}(x1))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{5_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{1_1}(1_{0_1}(x1))) -> 2_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{1_1}(1_{4_1}(x1))) -> 2_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{1_1}(1_{1_1}(x1))) -> 2_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{1_1}(1_{2_1}(x1))) -> 2_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(2_{3_1}(3_{2_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{1_1}(1_{3_1}(x1))) -> 2_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(2_{3_1}(3_{3_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{1_1}(1_{5_1}(x1))) -> 2_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{4_1}(4_{0_1}(x1))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{4_1}(4_{4_1}(x1))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{4_1}(4_{1_1}(x1))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{4_1}(4_{2_1}(x1))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{4_1}(4_{3_1}(x1))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{4_1}(4_{5_1}(x1))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{4_1}(4_{0_1}(x1))) -> 2_{4_1}(4_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(1_{0_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{4_1}(4_{4_1}(x1))) -> 2_{4_1}(4_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{4_1}(4_{1_1}(x1))) -> 2_{4_1}(4_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(1_{1_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{4_1}(4_{2_1}(x1))) -> 2_{4_1}(4_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(1_{2_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{4_1}(4_{3_1}(x1))) -> 2_{4_1}(4_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{4_1}(4_{5_1}(x1))) -> 2_{4_1}(4_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(x1))))))
72.93/19.72	   3_{0_1}(0_{1_1}(1_{0_1}(x1))) -> 3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(x1))))))
72.93/19.72	   3_{0_1}(0_{1_1}(1_{4_1}(x1))) -> 3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{4_1}(x1))))))
72.93/19.72	   3_{0_1}(0_{1_1}(1_{1_1}(x1))) -> 3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{1_1}(x1))))))
72.93/19.72	   3_{0_1}(0_{1_1}(1_{2_1}(x1))) -> 3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(x1))))))
72.93/19.72	   3_{0_1}(0_{1_1}(1_{3_1}(x1))) -> 3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(x1))))))
72.93/19.72	   3_{0_1}(0_{1_1}(1_{5_1}(x1))) -> 3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(x1))))))
72.93/19.72	   3_{0_1}(0_{5_1}(5_{0_1}(x1))) -> 3_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(x1))))))
72.93/19.72	   3_{0_1}(0_{5_1}(5_{4_1}(x1))) -> 3_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(x1))))))
72.93/19.72	   3_{0_1}(0_{5_1}(5_{1_1}(x1))) -> 3_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(x1))))))
72.93/19.72	   3_{0_1}(0_{5_1}(5_{2_1}(x1))) -> 3_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{2_1}(x1))))))
72.93/19.72	   3_{0_1}(0_{5_1}(5_{3_1}(x1))) -> 3_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(x1))))))
72.93/19.72	   3_{0_1}(0_{5_1}(5_{5_1}(x1))) -> 3_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(x1))))))
72.93/19.72	   4_{0_1}(0_{5_1}(5_{0_1}(x1))) -> 4_{1_1}(1_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(4_{0_1}(x1))))))
72.93/19.72	   4_{0_1}(0_{5_1}(5_{4_1}(x1))) -> 4_{1_1}(1_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(4_{4_1}(x1))))))
72.93/19.72	   4_{0_1}(0_{5_1}(5_{1_1}(x1))) -> 4_{1_1}(1_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(x1))))))
72.93/19.72	   4_{0_1}(0_{5_1}(5_{2_1}(x1))) -> 4_{1_1}(1_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(4_{2_1}(x1))))))
72.93/19.72	   4_{0_1}(0_{5_1}(5_{3_1}(x1))) -> 4_{1_1}(1_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(x1))))))
72.93/19.72	   4_{0_1}(0_{5_1}(5_{5_1}(x1))) -> 4_{1_1}(1_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(4_{5_1}(x1))))))
72.93/19.72	   4_{0_1}(0_{5_1}(5_{0_1}(x1))) -> 4_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(x1))))))
72.93/19.72	   4_{0_1}(0_{5_1}(5_{4_1}(x1))) -> 4_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(x1))))))
72.93/19.72	   4_{0_1}(0_{5_1}(5_{1_1}(x1))) -> 4_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{1_1}(x1))))))
72.93/19.72	   4_{0_1}(0_{5_1}(5_{2_1}(x1))) -> 4_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(x1))))))
72.93/19.72	   4_{0_1}(0_{5_1}(5_{3_1}(x1))) -> 4_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{3_1}(x1))))))
72.93/19.72	   4_{0_1}(0_{5_1}(5_{5_1}(x1))) -> 4_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{5_1}(x1))))))
72.93/19.72	   0_{0_1}(0_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.93/19.72	   0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.93/19.72	   0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.93/19.72	   0_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.93/19.72	   0_{0_1}(0_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.93/19.72	   0_{0_1}(0_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.93/19.72	   4_{0_1}(0_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.93/19.72	   4_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.93/19.72	   4_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.93/19.72	   4_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.93/19.72	   4_{0_1}(0_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.93/19.72	   4_{0_1}(0_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.93/19.72	   1_{0_1}(0_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.93/19.72	   1_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.93/19.72	   1_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.93/19.72	   1_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.93/19.72	   1_{0_1}(0_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.93/19.72	   1_{0_1}(0_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.93/19.72	   2_{0_1}(0_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.93/19.72	   2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.93/19.72	   2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.93/19.72	   2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.93/19.72	   2_{0_1}(0_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.93/19.72	   2_{0_1}(0_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.93/19.72	   3_{0_1}(0_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.93/19.72	   3_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.93/19.72	   3_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.93/19.72	   3_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.93/19.72	   3_{0_1}(0_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.93/19.72	   3_{0_1}(0_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.93/19.72	   5_{0_1}(0_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.93/19.72	   5_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.93/19.72	   5_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.93/19.72	   5_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.93/19.72	   5_{0_1}(0_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.93/19.72	   5_{0_1}(0_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.93/19.72	   0_{0_1}(0_{2_1}(2_{4_1}(4_{0_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.93/19.72	   0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.93/19.72	   0_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.93/19.72	   0_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.93/19.72	   0_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.93/19.72	   0_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.93/19.72	   4_{0_1}(0_{2_1}(2_{4_1}(4_{0_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.93/19.72	   4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.93/19.72	   4_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.93/19.72	   4_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.93/19.72	   4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.93/19.72	   4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.93/19.72	   1_{0_1}(0_{2_1}(2_{4_1}(4_{0_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.93/19.72	   1_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.93/19.72	   1_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.93/19.72	   1_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.93/19.72	   1_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.93/19.72	   1_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.93/19.72	   2_{0_1}(0_{2_1}(2_{4_1}(4_{0_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.93/19.72	   2_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.93/19.72	   2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.93/19.72	   2_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.93/19.72	   2_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.93/19.72	   2_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.93/19.72	   3_{0_1}(0_{2_1}(2_{4_1}(4_{0_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.93/19.72	   3_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.93/19.72	   3_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.93/19.72	   3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.93/19.72	   3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.93/19.72	   3_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.93/19.72	   5_{0_1}(0_{2_1}(2_{4_1}(4_{0_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.93/19.72	   5_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.93/19.72	   5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.93/19.72	   5_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.93/19.72	   5_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.93/19.72	   5_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.93/19.72	   0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(x1)))) -> 0_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.93/19.72	   0_{1_1}(1_{2_1}(2_{3_1}(3_{4_1}(x1)))) -> 0_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.93/19.72	   0_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(x1)))) -> 0_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.93/19.72	   0_{1_1}(1_{2_1}(2_{3_1}(3_{2_1}(x1)))) -> 0_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.93/19.72	   0_{1_1}(1_{2_1}(2_{3_1}(3_{3_1}(x1)))) -> 0_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.93/19.72	   0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(x1)))) -> 0_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.93/19.72	   4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(x1)))) -> 4_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.93/19.72	   4_{1_1}(1_{2_1}(2_{3_1}(3_{4_1}(x1)))) -> 4_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.93/19.72	   4_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(x1)))) -> 4_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.93/19.72	   4_{1_1}(1_{2_1}(2_{3_1}(3_{2_1}(x1)))) -> 4_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.93/19.72	   4_{1_1}(1_{2_1}(2_{3_1}(3_{3_1}(x1)))) -> 4_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.93/19.72	   4_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(x1)))) -> 4_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.93/19.72	   1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(x1)))) -> 1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.93/19.72	   1_{1_1}(1_{2_1}(2_{3_1}(3_{4_1}(x1)))) -> 1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.93/19.72	   1_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(x1)))) -> 1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.93/19.72	   1_{1_1}(1_{2_1}(2_{3_1}(3_{2_1}(x1)))) -> 1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.93/19.72	   1_{1_1}(1_{2_1}(2_{3_1}(3_{3_1}(x1)))) -> 1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.93/19.72	   1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(x1)))) -> 1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.93/19.72	   2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(x1)))) -> 2_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.93/19.72	   2_{1_1}(1_{2_1}(2_{3_1}(3_{4_1}(x1)))) -> 2_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.93/19.72	   2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(x1)))) -> 2_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.93/19.72	   2_{1_1}(1_{2_1}(2_{3_1}(3_{2_1}(x1)))) -> 2_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.93/19.72	   2_{1_1}(1_{2_1}(2_{3_1}(3_{3_1}(x1)))) -> 2_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.93/19.72	   2_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(x1)))) -> 2_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.93/19.72	   3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(x1)))) -> 3_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.93/19.72	   3_{1_1}(1_{2_1}(2_{3_1}(3_{4_1}(x1)))) -> 3_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.93/19.72	   3_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(x1)))) -> 3_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.93/19.72	   3_{1_1}(1_{2_1}(2_{3_1}(3_{2_1}(x1)))) -> 3_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.93/19.72	   3_{1_1}(1_{2_1}(2_{3_1}(3_{3_1}(x1)))) -> 3_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.93/19.72	   3_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(x1)))) -> 3_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.93/19.72	   5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(x1)))) -> 5_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.93/19.72	   5_{1_1}(1_{2_1}(2_{3_1}(3_{4_1}(x1)))) -> 5_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.93/19.72	   5_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(x1)))) -> 5_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.93/19.72	   5_{1_1}(1_{2_1}(2_{3_1}(3_{2_1}(x1)))) -> 5_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.93/19.72	   5_{1_1}(1_{2_1}(2_{3_1}(3_{3_1}(x1)))) -> 5_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.93/19.72	   5_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(x1)))) -> 5_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.93/19.72	   0_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(x1)))))))
72.93/19.72	   0_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(x1)))))))
72.93/19.72	   0_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(x1)))))))
72.93/19.72	   0_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{2_1}(x1)))))))
72.93/19.72	   0_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{3_1}(x1)))))))
72.93/19.72	   0_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(x1)))))))
72.93/19.72	   4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 4_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(x1)))))))
72.93/19.72	   4_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 4_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(x1)))))))
72.93/19.72	   4_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 4_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(x1)))))))
72.93/19.72	   4_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 4_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{2_1}(x1)))))))
72.93/19.72	   4_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 4_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{3_1}(x1)))))))
72.93/19.72	   4_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 4_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(x1)))))))
72.93/19.72	   1_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(x1)))))))
72.93/19.72	   1_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(x1)))))))
72.93/19.72	   1_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(x1)))))))
72.93/19.72	   1_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{2_1}(x1)))))))
72.93/19.72	   1_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{3_1}(x1)))))))
72.93/19.72	   1_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(x1)))))))
72.93/19.72	   2_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(x1)))))))
72.93/19.72	   2_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(x1)))))))
72.93/19.72	   2_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(x1)))))))
72.93/19.72	   2_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{2_1}(x1)))))))
72.93/19.72	   2_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{3_1}(x1)))))))
72.93/19.72	   2_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(x1)))))))
72.93/19.72	   3_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 3_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(x1)))))))
72.93/19.72	   3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 3_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(x1)))))))
72.93/19.72	   3_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 3_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(x1)))))))
72.93/19.72	   3_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 3_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{2_1}(x1)))))))
72.93/19.72	   3_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 3_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{3_1}(x1)))))))
72.93/19.72	   3_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 3_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(x1)))))))
72.93/19.72	   5_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 5_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(x1)))))))
72.93/19.72	   5_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 5_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(x1)))))))
72.93/19.72	   5_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 5_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(x1)))))))
72.93/19.72	   5_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 5_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{2_1}(x1)))))))
72.93/19.72	   5_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 5_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{3_1}(x1)))))))
72.93/19.72	   5_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 5_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(x1)))))))
72.93/19.72	   0_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 0_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
72.93/19.72	   0_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 0_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
72.93/19.72	   0_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 0_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
72.93/19.72	   0_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 0_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
72.93/19.72	   0_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 0_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
72.93/19.72	   0_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 0_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
72.93/19.72	   4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
72.93/19.72	   4_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
72.93/19.72	   4_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
72.93/19.72	   4_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
72.93/19.72	   4_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
72.93/19.72	   4_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
72.93/19.72	   1_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
72.93/19.72	   1_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
72.93/19.72	   1_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
72.93/19.72	   1_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
72.93/19.72	   1_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
72.93/19.72	   1_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
72.93/19.72	   2_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
72.93/19.72	   2_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
72.93/19.72	   2_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
72.93/19.72	   2_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
72.93/19.72	   2_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
72.93/19.72	   2_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
72.93/19.72	   3_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 3_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
72.93/19.72	   3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 3_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
72.93/19.72	   3_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 3_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
72.93/19.72	   3_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 3_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
72.93/19.72	   3_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 3_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
72.93/19.72	   3_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 3_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
72.93/19.72	   5_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 5_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
72.93/19.72	   5_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 5_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
72.93/19.72	   5_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 5_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
72.93/19.72	   5_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 5_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
72.93/19.72	   5_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 5_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
72.93/19.72	   5_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 5_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
72.93/19.72	   0_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(x1)))) -> 0_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(x1)))))))
72.93/19.72	   0_{4_1}(4_{0_1}(0_{0_1}(0_{4_1}(x1)))) -> 0_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(x1)))))))
72.93/19.72	   0_{4_1}(4_{0_1}(0_{0_1}(0_{1_1}(x1)))) -> 0_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(x1)))))))
72.93/19.72	   0_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(x1)))) -> 0_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(x1)))))))
72.93/19.72	   0_{4_1}(4_{0_1}(0_{0_1}(0_{3_1}(x1)))) -> 0_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{3_1}(x1)))))))
72.93/19.72	   0_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(x1)))) -> 0_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{5_1}(x1)))))))
72.93/19.72	   4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(x1)))) -> 4_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(x1)))))))
72.93/19.72	   4_{4_1}(4_{0_1}(0_{0_1}(0_{4_1}(x1)))) -> 4_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(x1)))))))
72.93/19.72	   4_{4_1}(4_{0_1}(0_{0_1}(0_{1_1}(x1)))) -> 4_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(x1)))))))
72.93/19.72	   4_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(x1)))) -> 4_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(x1)))))))
72.93/19.72	   4_{4_1}(4_{0_1}(0_{0_1}(0_{3_1}(x1)))) -> 4_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{3_1}(x1)))))))
72.93/19.72	   4_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(x1)))) -> 4_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{5_1}(x1)))))))
72.93/19.72	   1_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(x1)))) -> 1_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(x1)))))))
72.93/19.72	   1_{4_1}(4_{0_1}(0_{0_1}(0_{4_1}(x1)))) -> 1_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(x1)))))))
72.93/19.72	   1_{4_1}(4_{0_1}(0_{0_1}(0_{1_1}(x1)))) -> 1_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(x1)))))))
72.93/19.72	   1_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(x1)))) -> 1_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(x1)))))))
72.93/19.72	   1_{4_1}(4_{0_1}(0_{0_1}(0_{3_1}(x1)))) -> 1_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{3_1}(x1)))))))
72.93/19.72	   1_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(x1)))) -> 1_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{5_1}(x1)))))))
72.93/19.72	   2_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(x1)))) -> 2_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(x1)))))))
72.93/19.72	   2_{4_1}(4_{0_1}(0_{0_1}(0_{4_1}(x1)))) -> 2_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(x1)))))))
72.93/19.72	   2_{4_1}(4_{0_1}(0_{0_1}(0_{1_1}(x1)))) -> 2_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(x1)))))))
72.93/19.72	   2_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(x1)))) -> 2_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(x1)))))))
72.93/19.72	   2_{4_1}(4_{0_1}(0_{0_1}(0_{3_1}(x1)))) -> 2_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{3_1}(x1)))))))
72.93/19.72	   2_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(x1)))) -> 2_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{5_1}(x1)))))))
72.93/19.72	   3_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(x1)))) -> 3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(x1)))))))
72.93/19.72	   3_{4_1}(4_{0_1}(0_{0_1}(0_{4_1}(x1)))) -> 3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(x1)))))))
72.93/19.72	   3_{4_1}(4_{0_1}(0_{0_1}(0_{1_1}(x1)))) -> 3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(x1)))))))
72.93/19.72	   3_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(x1)))) -> 3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(x1)))))))
72.93/19.72	   3_{4_1}(4_{0_1}(0_{0_1}(0_{3_1}(x1)))) -> 3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{3_1}(x1)))))))
72.93/19.72	   3_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(x1)))) -> 3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{5_1}(x1)))))))
72.93/19.72	   5_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(x1)))) -> 5_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(x1)))))))
72.93/19.72	   5_{4_1}(4_{0_1}(0_{0_1}(0_{4_1}(x1)))) -> 5_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(x1)))))))
72.93/19.72	   5_{4_1}(4_{0_1}(0_{0_1}(0_{1_1}(x1)))) -> 5_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(x1)))))))
72.93/19.72	   5_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(x1)))) -> 5_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(x1)))))))
72.93/19.72	   5_{4_1}(4_{0_1}(0_{0_1}(0_{3_1}(x1)))) -> 5_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{3_1}(x1)))))))
72.93/19.72	   5_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(x1)))) -> 5_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{5_1}(x1)))))))
72.93/19.72	   0_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
72.93/19.72	   0_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
72.93/19.72	   0_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
72.93/19.72	   0_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
72.93/19.72	   0_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
72.93/19.72	   0_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
72.93/19.72	   4_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
72.93/19.72	   4_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
72.93/19.72	   4_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
72.93/19.72	   4_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
72.93/19.72	   4_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
72.93/19.72	   4_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
72.93/19.72	   1_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
72.93/19.72	   1_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
72.93/19.72	   1_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
72.93/19.72	   1_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
72.93/19.72	   1_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
72.93/19.72	   1_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
72.93/19.72	   2_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
72.93/19.72	   2_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
72.93/19.72	   2_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
72.93/19.72	   2_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
72.93/19.72	   2_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
72.93/19.72	   2_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
72.93/19.72	   3_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
72.93/19.72	   3_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
72.93/19.72	   3_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
72.93/19.72	   3_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
72.93/19.72	   3_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
72.93/19.72	   3_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
72.93/19.72	   5_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
72.93/19.72	   5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
72.93/19.72	   5_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
72.93/19.72	   5_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
72.93/19.72	   5_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
72.93/19.72	   5_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
72.93/19.72	   0_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.93/19.72	   0_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.93/19.72	   0_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.93/19.72	   0_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.93/19.72	   0_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.93/19.72	   0_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.93/19.72	   4_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.93/19.72	   4_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.93/19.72	   4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.93/19.72	   4_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.93/19.72	   4_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.93/19.72	   4_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.93/19.72	   1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.93/19.72	   1_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.93/19.72	   1_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.93/19.72	   1_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.93/19.72	   1_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.93/19.72	   1_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.93/19.72	   2_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.93/19.72	   2_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.93/19.72	   2_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.93/19.72	   2_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.93/19.72	   2_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.93/19.72	   2_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.93/19.72	   3_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.93/19.72	   3_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.93/19.72	   3_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.93/19.72	   3_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.93/19.72	   3_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.93/19.72	   3_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.93/19.72	   5_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.93/19.72	   5_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.93/19.72	   5_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.93/19.72	   5_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.93/19.72	   5_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.93/19.72	   5_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.93/19.72	   0_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.93/19.72	   0_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.93/19.72	   0_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.93/19.72	   0_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.93/19.72	   0_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.93/19.72	   0_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.93/19.72	   4_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.93/19.72	   4_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.93/19.72	   4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.93/19.72	   4_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.93/19.72	   4_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.93/19.72	   4_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.93/19.72	   1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.93/19.72	   1_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.93/19.72	   1_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.93/19.72	   1_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.93/19.72	   1_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.93/19.72	   1_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.93/19.72	   2_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.93/19.72	   2_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.93/19.72	   2_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.93/19.72	   2_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.93/19.72	   2_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.93/19.72	   2_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.93/19.72	   3_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.93/19.72	   3_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.93/19.72	   3_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.93/19.72	   3_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.93/19.72	   3_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.93/19.72	   3_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.93/19.72	   5_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.93/19.72	   5_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.93/19.72	   5_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.93/19.72	   5_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.93/19.72	   5_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.93/19.72	   5_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.93/19.72	
72.93/19.72	Q is empty.
72.93/19.72	
72.93/19.72	----------------------------------------
72.93/19.72	
72.93/19.72	(5) QTRSRRRProof (EQUIVALENT)
72.93/19.72	Used ordering:
72.93/19.72	Polynomial interpretation [POLO]:
72.93/19.72	
72.93/19.72	   POL(0_{0_1}(x_1)) = 145 + x_1
72.93/19.72	   POL(0_{1_1}(x_1)) = 132 + x_1
72.93/19.72	   POL(0_{2_1}(x_1)) = 114 + x_1
72.93/19.72	   POL(0_{3_1}(x_1)) = 234 + x_1
72.93/19.72	   POL(0_{4_1}(x_1)) = 286 + x_1
72.93/19.72	   POL(0_{5_1}(x_1)) = 132 + x_1
72.93/19.72	   POL(1_{0_1}(x_1)) = x_1
72.93/19.72	   POL(1_{1_1}(x_1)) = x_1
72.93/19.72	   POL(1_{2_1}(x_1)) = 44 + x_1
72.93/19.72	   POL(1_{3_1}(x_1)) = 173 + x_1
72.93/19.72	   POL(1_{4_1}(x_1)) = x_1
72.93/19.72	   POL(1_{5_1}(x_1)) = x_1
72.93/19.72	   POL(2_{0_1}(x_1)) = 19 + x_1
72.93/19.72	   POL(2_{1_1}(x_1)) = 2 + x_1
72.93/19.72	   POL(2_{2_1}(x_1)) = 16 + x_1
72.93/19.72	   POL(2_{3_1}(x_1)) = x_1
72.93/19.72	   POL(2_{4_1}(x_1)) = 37 + x_1
72.93/19.72	   POL(2_{5_1}(x_1)) = 2 + x_1
72.93/19.72	   POL(3_{0_1}(x_1)) = x_1
72.93/19.72	   POL(3_{1_1}(x_1)) = x_1
72.93/19.72	   POL(3_{2_1}(x_1)) = x_1
72.93/19.72	   POL(3_{3_1}(x_1)) = 95 + x_1
72.93/19.72	   POL(3_{4_1}(x_1)) = 52 + x_1
72.93/19.72	   POL(3_{5_1}(x_1)) = x_1
72.93/19.72	   POL(4_{0_1}(x_1)) = 13 + x_1
72.93/19.72	   POL(4_{1_1}(x_1)) = x_1
72.93/19.72	   POL(4_{2_1}(x_1)) = 24 + x_1
72.93/19.72	   POL(4_{3_1}(x_1)) = 61 + x_1
72.93/19.72	   POL(4_{4_1}(x_1)) = 17 + x_1
72.93/19.72	   POL(4_{5_1}(x_1)) = x_1
72.93/19.72	   POL(5_{0_1}(x_1)) = 2 + x_1
72.93/19.72	   POL(5_{1_1}(x_1)) = 2 + x_1
72.93/19.72	   POL(5_{2_1}(x_1)) = x_1
72.93/19.72	   POL(5_{3_1}(x_1)) = x_1
72.93/19.72	   POL(5_{4_1}(x_1)) = 21 + x_1
72.93/19.72	   POL(5_{5_1}(x_1)) = 2 + x_1
72.93/19.72	With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:
72.93/19.72	
72.93/19.72	   0_{4_1}(4_{0_1}(x1)) -> 0_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(x1))))))
72.93/19.72	   0_{4_1}(4_{1_1}(x1)) -> 0_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(x1))))))
72.93/19.72	   0_{4_1}(4_{2_1}(x1)) -> 0_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(x1))))))
72.93/19.72	   0_{4_1}(4_{3_1}(x1)) -> 0_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{3_1}(x1))))))
72.93/19.72	   0_{4_1}(4_{5_1}(x1)) -> 0_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{5_1}(x1))))))
72.93/19.72	   0_{4_1}(4_{0_1}(x1)) -> 0_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{0_1}(x1))))))
72.93/19.72	   0_{4_1}(4_{4_1}(x1)) -> 0_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(x1))))))
72.93/19.72	   0_{4_1}(4_{1_1}(x1)) -> 0_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(x1))))))
72.93/19.72	   0_{4_1}(4_{2_1}(x1)) -> 0_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{2_1}(x1))))))
72.93/19.72	   0_{4_1}(4_{3_1}(x1)) -> 0_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(x1))))))
72.93/19.72	   0_{4_1}(4_{5_1}(x1)) -> 0_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{5_1}(x1))))))
72.93/19.72	   0_{1_1}(1_{3_1}(3_{0_1}(x1))) -> 0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{0_1}(x1))))))
72.93/19.72	   0_{1_1}(1_{3_1}(3_{4_1}(x1))) -> 0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(x1))))))
72.93/19.72	   0_{1_1}(1_{3_1}(3_{1_1}(x1))) -> 0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{1_1}(x1))))))
72.93/19.72	   0_{1_1}(1_{3_1}(3_{3_1}(x1))) -> 0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(x1))))))
72.93/19.72	   0_{1_1}(1_{3_1}(3_{5_1}(x1))) -> 0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(x1))))))
72.93/19.72	   0_{4_1}(4_{0_1}(0_{0_1}(x1))) -> 0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1))))))
72.93/19.72	   0_{4_1}(4_{0_1}(0_{4_1}(x1))) -> 0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1))))))
72.93/19.72	   0_{4_1}(4_{0_1}(0_{1_1}(x1))) -> 0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1))))))
72.93/19.72	   0_{4_1}(4_{0_1}(0_{2_1}(x1))) -> 0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1))))))
72.93/19.72	   0_{4_1}(4_{0_1}(0_{3_1}(x1))) -> 0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1))))))
72.93/19.72	   0_{4_1}(4_{0_1}(0_{5_1}(x1))) -> 0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1))))))
72.93/19.72	   1_{3_1}(3_{5_1}(5_{4_1}(x1))) -> 1_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(x1))))))
72.93/19.72	   1_{3_1}(3_{5_1}(5_{1_1}(x1))) -> 1_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(x1))))))
72.93/19.72	   1_{3_1}(3_{5_1}(5_{2_1}(x1))) -> 1_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(x1))))))
72.93/19.72	   1_{3_1}(3_{5_1}(5_{3_1}(x1))) -> 1_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(x1))))))
72.93/19.72	   1_{3_1}(3_{5_1}(5_{5_1}(x1))) -> 1_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{2_1}(2_{5_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{0_1}(0_{0_1}(x1))) -> 2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(4_{0_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{0_1}(0_{4_1}(x1))) -> 2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(4_{4_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{0_1}(0_{1_1}(x1))) -> 2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(4_{1_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{0_1}(0_{2_1}(x1))) -> 2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{0_1}(0_{3_1}(x1))) -> 2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(4_{3_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{0_1}(0_{5_1}(x1))) -> 2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(4_{5_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{1_1}(1_{0_1}(x1))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{1_1}(1_{4_1}(x1))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{4_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{1_1}(1_{1_1}(x1))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{1_1}(1_{2_1}(x1))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{1_1}(1_{3_1}(x1))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{3_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{1_1}(1_{5_1}(x1))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{5_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{1_1}(1_{0_1}(x1))) -> 2_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(2_{3_1}(3_{0_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{1_1}(1_{4_1}(x1))) -> 2_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{1_1}(1_{1_1}(x1))) -> 2_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{1_1}(1_{2_1}(x1))) -> 2_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(2_{3_1}(3_{2_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{1_1}(1_{3_1}(x1))) -> 2_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(2_{3_1}(3_{3_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{1_1}(1_{5_1}(x1))) -> 2_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{4_1}(4_{0_1}(x1))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{0_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{4_1}(4_{4_1}(x1))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{4_1}(4_{1_1}(x1))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{4_1}(4_{2_1}(x1))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{2_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{4_1}(4_{3_1}(x1))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{4_1}(4_{5_1}(x1))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{4_1}(4_{0_1}(x1))) -> 2_{4_1}(4_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(1_{0_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{4_1}(4_{4_1}(x1))) -> 2_{4_1}(4_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(1_{4_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{4_1}(4_{1_1}(x1))) -> 2_{4_1}(4_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(1_{1_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{4_1}(4_{2_1}(x1))) -> 2_{4_1}(4_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(1_{2_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{4_1}(4_{3_1}(x1))) -> 2_{4_1}(4_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(1_{3_1}(x1))))))
72.93/19.72	   2_{0_1}(0_{4_1}(4_{5_1}(x1))) -> 2_{4_1}(4_{1_1}(1_{4_1}(4_{3_1}(3_{1_1}(1_{5_1}(x1))))))
72.93/19.72	   3_{0_1}(0_{1_1}(1_{0_1}(x1))) -> 3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(x1))))))
72.93/19.72	   3_{0_1}(0_{1_1}(1_{4_1}(x1))) -> 3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{4_1}(x1))))))
72.93/19.72	   3_{0_1}(0_{1_1}(1_{1_1}(x1))) -> 3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{1_1}(x1))))))
72.93/19.72	   3_{0_1}(0_{1_1}(1_{2_1}(x1))) -> 3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(x1))))))
72.93/19.72	   3_{0_1}(0_{1_1}(1_{3_1}(x1))) -> 3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(x1))))))
72.93/19.72	   3_{0_1}(0_{1_1}(1_{5_1}(x1))) -> 3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(x1))))))
72.93/19.72	   3_{0_1}(0_{5_1}(5_{0_1}(x1))) -> 3_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(x1))))))
72.93/19.72	   3_{0_1}(0_{5_1}(5_{4_1}(x1))) -> 3_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(x1))))))
72.93/19.72	   3_{0_1}(0_{5_1}(5_{1_1}(x1))) -> 3_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(x1))))))
72.93/19.72	   3_{0_1}(0_{5_1}(5_{2_1}(x1))) -> 3_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{2_1}(x1))))))
72.93/19.72	   3_{0_1}(0_{5_1}(5_{3_1}(x1))) -> 3_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(x1))))))
72.93/19.72	   3_{0_1}(0_{5_1}(5_{5_1}(x1))) -> 3_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{5_1}(x1))))))
72.93/19.72	   4_{0_1}(0_{5_1}(5_{0_1}(x1))) -> 4_{1_1}(1_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(4_{0_1}(x1))))))
72.93/19.72	   4_{0_1}(0_{5_1}(5_{4_1}(x1))) -> 4_{1_1}(1_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(4_{4_1}(x1))))))
72.93/19.72	   4_{0_1}(0_{5_1}(5_{1_1}(x1))) -> 4_{1_1}(1_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(x1))))))
72.93/19.72	   4_{0_1}(0_{5_1}(5_{2_1}(x1))) -> 4_{1_1}(1_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(4_{2_1}(x1))))))
72.93/19.72	   4_{0_1}(0_{5_1}(5_{3_1}(x1))) -> 4_{1_1}(1_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(4_{3_1}(x1))))))
72.93/19.72	   4_{0_1}(0_{5_1}(5_{5_1}(x1))) -> 4_{1_1}(1_{4_1}(4_{5_1}(5_{1_1}(1_{4_1}(4_{5_1}(x1))))))
72.93/19.72	   4_{0_1}(0_{5_1}(5_{0_1}(x1))) -> 4_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(x1))))))
72.93/19.72	   4_{0_1}(0_{5_1}(5_{4_1}(x1))) -> 4_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(x1))))))
72.93/19.72	   4_{0_1}(0_{5_1}(5_{1_1}(x1))) -> 4_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{1_1}(x1))))))
72.93/19.72	   4_{0_1}(0_{5_1}(5_{2_1}(x1))) -> 4_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(x1))))))
72.93/19.72	   4_{0_1}(0_{5_1}(5_{3_1}(x1))) -> 4_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{3_1}(x1))))))
72.93/19.72	   4_{0_1}(0_{5_1}(5_{5_1}(x1))) -> 4_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{5_1}(x1))))))
72.93/19.72	   0_{0_1}(0_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.93/19.72	   0_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.93/19.72	   0_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.93/19.72	   0_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.93/19.72	   0_{0_1}(0_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.93/19.72	   0_{0_1}(0_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 0_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.93/19.72	   4_{0_1}(0_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.93/19.72	   4_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.93/19.72	   4_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.93/19.72	   4_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.93/19.72	   4_{0_1}(0_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.93/19.72	   4_{0_1}(0_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 4_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.93/19.72	   1_{0_1}(0_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.93/19.72	   1_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.93/19.72	   1_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.93/19.72	   1_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.93/19.72	   1_{0_1}(0_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.93/19.72	   1_{0_1}(0_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 1_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.93/19.72	   2_{0_1}(0_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.93/19.72	   2_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.93/19.72	   2_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.93/19.72	   2_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.93/19.72	   2_{0_1}(0_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.93/19.72	   2_{0_1}(0_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 2_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.93/19.72	   3_{0_1}(0_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.93/19.72	   3_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.93/19.72	   3_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.93/19.72	   3_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.93/19.72	   3_{0_1}(0_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.93/19.72	   3_{0_1}(0_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 3_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.93/19.72	   5_{0_1}(0_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.93/19.72	   5_{0_1}(0_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.93/19.72	   5_{0_1}(0_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.93/19.72	   5_{0_1}(0_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.93/19.72	   5_{0_1}(0_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.93/19.72	   5_{0_1}(0_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 5_{1_1}(1_{1_1}(1_{5_1}(5_{2_1}(2_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.93/19.72	   0_{0_1}(0_{2_1}(2_{4_1}(4_{0_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.93/19.72	   0_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.93/19.72	   0_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.93/19.72	   0_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.93/19.72	   0_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.93/19.72	   0_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.93/19.72	   4_{0_1}(0_{2_1}(2_{4_1}(4_{0_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.93/19.72	   4_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.93/19.72	   4_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.93/19.72	   4_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.93/19.72	   4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.93/19.72	   4_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.93/19.72	   2_{0_1}(0_{2_1}(2_{4_1}(4_{0_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.93/19.72	   2_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.93/19.72	   2_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.93/19.72	   2_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.93/19.72	   2_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.93/19.72	   2_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.93/19.72	   0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(x1)))) -> 0_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.93/19.72	   0_{1_1}(1_{2_1}(2_{3_1}(3_{4_1}(x1)))) -> 0_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.93/19.72	   0_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(x1)))) -> 0_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.93/19.72	   0_{1_1}(1_{2_1}(2_{3_1}(3_{2_1}(x1)))) -> 0_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.93/19.72	   0_{1_1}(1_{2_1}(2_{3_1}(3_{3_1}(x1)))) -> 0_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.93/19.72	   0_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(x1)))) -> 0_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.93/19.72	   4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(x1)))) -> 4_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.73	   4_{1_1}(1_{2_1}(2_{3_1}(3_{4_1}(x1)))) -> 4_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.73	   4_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(x1)))) -> 4_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.73	   4_{1_1}(1_{2_1}(2_{3_1}(3_{2_1}(x1)))) -> 4_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.73	   4_{1_1}(1_{2_1}(2_{3_1}(3_{3_1}(x1)))) -> 4_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.73	   4_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(x1)))) -> 4_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.73	   1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(x1)))) -> 1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.73	   1_{1_1}(1_{2_1}(2_{3_1}(3_{4_1}(x1)))) -> 1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.73	   1_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(x1)))) -> 1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.73	   1_{1_1}(1_{2_1}(2_{3_1}(3_{2_1}(x1)))) -> 1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.73	   1_{1_1}(1_{2_1}(2_{3_1}(3_{3_1}(x1)))) -> 1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.73	   1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(x1)))) -> 1_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.73	   2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(x1)))) -> 2_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.73	   2_{1_1}(1_{2_1}(2_{3_1}(3_{4_1}(x1)))) -> 2_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.73	   2_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(x1)))) -> 2_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.73	   2_{1_1}(1_{2_1}(2_{3_1}(3_{2_1}(x1)))) -> 2_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.73	   2_{1_1}(1_{2_1}(2_{3_1}(3_{3_1}(x1)))) -> 2_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.73	   2_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(x1)))) -> 2_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.73	   3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(x1)))) -> 3_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.73	   3_{1_1}(1_{2_1}(2_{3_1}(3_{4_1}(x1)))) -> 3_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.73	   3_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(x1)))) -> 3_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.73	   3_{1_1}(1_{2_1}(2_{3_1}(3_{2_1}(x1)))) -> 3_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.73	   3_{1_1}(1_{2_1}(2_{3_1}(3_{3_1}(x1)))) -> 3_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.73	   3_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(x1)))) -> 3_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.73	   5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(x1)))) -> 5_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.73	   5_{1_1}(1_{2_1}(2_{3_1}(3_{4_1}(x1)))) -> 5_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.73	   5_{1_1}(1_{2_1}(2_{3_1}(3_{1_1}(x1)))) -> 5_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.73	   5_{1_1}(1_{2_1}(2_{3_1}(3_{2_1}(x1)))) -> 5_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.73	   5_{1_1}(1_{2_1}(2_{3_1}(3_{3_1}(x1)))) -> 5_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.73	   5_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(x1)))) -> 5_{5_1}(5_{1_1}(1_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.73	   0_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(x1)))))))
72.98/19.73	   0_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(x1)))))))
72.98/19.73	   0_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(x1)))))))
72.98/19.73	   0_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{2_1}(x1)))))))
72.98/19.73	   0_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{3_1}(x1)))))))
72.98/19.73	   0_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(x1)))))))
72.98/19.73	   4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 4_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(x1)))))))
72.98/19.73	   4_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 4_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(x1)))))))
72.98/19.73	   4_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 4_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(x1)))))))
72.98/19.73	   4_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 4_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{2_1}(x1)))))))
72.98/19.73	   4_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 4_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{3_1}(x1)))))))
72.98/19.73	   4_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 4_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(x1)))))))
72.98/19.73	   1_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(x1)))))))
72.98/19.73	   1_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(x1)))))))
72.98/19.73	   1_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(x1)))))))
72.98/19.73	   1_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{2_1}(x1)))))))
72.98/19.73	   1_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{3_1}(x1)))))))
72.98/19.73	   1_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(x1)))))))
72.98/19.73	   2_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(x1)))))))
72.98/19.73	   2_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(x1)))))))
72.98/19.73	   2_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(x1)))))))
72.98/19.73	   2_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{2_1}(x1)))))))
72.98/19.73	   2_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{3_1}(x1)))))))
72.98/19.73	   2_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(x1)))))))
72.98/19.73	   3_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 3_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(x1)))))))
72.98/19.73	   3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 3_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(x1)))))))
72.98/19.73	   3_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 3_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(x1)))))))
72.98/19.73	   3_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 3_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{2_1}(x1)))))))
72.98/19.73	   3_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 3_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{3_1}(x1)))))))
72.98/19.73	   3_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 3_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(x1)))))))
72.98/19.73	   5_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 5_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{0_1}(x1)))))))
72.98/19.73	   5_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 5_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{4_1}(x1)))))))
72.98/19.73	   5_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 5_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(x1)))))))
72.98/19.73	   5_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 5_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{2_1}(x1)))))))
72.98/19.73	   5_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 5_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{3_1}(x1)))))))
72.98/19.73	   5_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 5_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(5_{5_1}(x1)))))))
72.98/19.73	   0_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(x1)))) -> 0_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(x1)))))))
72.98/19.73	   0_{4_1}(4_{0_1}(0_{0_1}(0_{4_1}(x1)))) -> 0_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(x1)))))))
72.98/19.73	   0_{4_1}(4_{0_1}(0_{0_1}(0_{1_1}(x1)))) -> 0_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(x1)))))))
72.98/19.73	   0_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(x1)))) -> 0_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(x1)))))))
72.98/19.73	   0_{4_1}(4_{0_1}(0_{0_1}(0_{3_1}(x1)))) -> 0_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{3_1}(x1)))))))
72.98/19.73	   0_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(x1)))) -> 0_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{5_1}(x1)))))))
72.98/19.73	   4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(x1)))) -> 4_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(x1)))))))
72.98/19.73	   4_{4_1}(4_{0_1}(0_{0_1}(0_{4_1}(x1)))) -> 4_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(x1)))))))
72.98/19.73	   4_{4_1}(4_{0_1}(0_{0_1}(0_{1_1}(x1)))) -> 4_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(x1)))))))
72.98/19.73	   4_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(x1)))) -> 4_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(x1)))))))
72.98/19.73	   4_{4_1}(4_{0_1}(0_{0_1}(0_{3_1}(x1)))) -> 4_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{3_1}(x1)))))))
72.98/19.73	   4_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(x1)))) -> 4_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{5_1}(x1)))))))
72.98/19.73	   1_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(x1)))) -> 1_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(x1)))))))
72.98/19.73	   1_{4_1}(4_{0_1}(0_{0_1}(0_{4_1}(x1)))) -> 1_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(x1)))))))
72.98/19.73	   1_{4_1}(4_{0_1}(0_{0_1}(0_{1_1}(x1)))) -> 1_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(x1)))))))
72.98/19.73	   1_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(x1)))) -> 1_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(x1)))))))
72.98/19.73	   1_{4_1}(4_{0_1}(0_{0_1}(0_{3_1}(x1)))) -> 1_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{3_1}(x1)))))))
72.98/19.73	   1_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(x1)))) -> 1_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{5_1}(x1)))))))
72.98/19.73	   2_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(x1)))) -> 2_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(x1)))))))
72.98/19.73	   2_{4_1}(4_{0_1}(0_{0_1}(0_{4_1}(x1)))) -> 2_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(x1)))))))
72.98/19.73	   2_{4_1}(4_{0_1}(0_{0_1}(0_{1_1}(x1)))) -> 2_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(x1)))))))
72.98/19.73	   2_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(x1)))) -> 2_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(x1)))))))
72.98/19.73	   2_{4_1}(4_{0_1}(0_{0_1}(0_{3_1}(x1)))) -> 2_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{3_1}(x1)))))))
72.98/19.73	   2_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(x1)))) -> 2_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{5_1}(x1)))))))
72.98/19.73	   3_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(x1)))) -> 3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(x1)))))))
72.98/19.73	   3_{4_1}(4_{0_1}(0_{0_1}(0_{4_1}(x1)))) -> 3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(x1)))))))
72.98/19.73	   3_{4_1}(4_{0_1}(0_{0_1}(0_{1_1}(x1)))) -> 3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(x1)))))))
72.98/19.73	   3_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(x1)))) -> 3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(x1)))))))
72.98/19.73	   3_{4_1}(4_{0_1}(0_{0_1}(0_{3_1}(x1)))) -> 3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{3_1}(x1)))))))
72.98/19.73	   3_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(x1)))) -> 3_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{5_1}(x1)))))))
72.98/19.73	   5_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(x1)))) -> 5_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(x1)))))))
72.98/19.73	   5_{4_1}(4_{0_1}(0_{0_1}(0_{4_1}(x1)))) -> 5_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(x1)))))))
72.98/19.73	   5_{4_1}(4_{0_1}(0_{0_1}(0_{1_1}(x1)))) -> 5_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(x1)))))))
72.98/19.73	   5_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(x1)))) -> 5_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(x1)))))))
72.98/19.73	   5_{4_1}(4_{0_1}(0_{0_1}(0_{3_1}(x1)))) -> 5_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{3_1}(x1)))))))
72.98/19.73	   5_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(x1)))) -> 5_{2_1}(2_{5_1}(5_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{5_1}(x1)))))))
72.98/19.73	
72.98/19.73	
72.98/19.73	
72.98/19.73	
72.98/19.73	----------------------------------------
72.98/19.73	
72.98/19.73	(6)
72.98/19.73	Obligation:
72.98/19.73	Q restricted rewrite system:
72.98/19.73	The TRS R consists of the following rules:
72.98/19.73	
72.98/19.73	   0_{4_1}(4_{4_1}(x1)) -> 0_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(x1))))))
72.98/19.73	   0_{1_1}(1_{1_1}(1_{0_1}(x1))) -> 0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(x1))))))
72.98/19.73	   0_{1_1}(1_{1_1}(1_{4_1}(x1))) -> 0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(x1))))))
72.98/19.73	   0_{1_1}(1_{1_1}(1_{1_1}(x1))) -> 0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(x1))))))
72.98/19.73	   0_{1_1}(1_{1_1}(1_{2_1}(x1))) -> 0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(x1))))))
72.98/19.73	   0_{1_1}(1_{1_1}(1_{3_1}(x1))) -> 0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{3_1}(x1))))))
72.98/19.73	   0_{1_1}(1_{1_1}(1_{5_1}(x1))) -> 0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{5_1}(x1))))))
72.98/19.73	   0_{1_1}(1_{3_1}(3_{2_1}(x1))) -> 0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(x1))))))
72.98/19.73	   1_{3_1}(3_{5_1}(5_{0_1}(x1))) -> 1_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{2_1}(2_{0_1}(x1))))))
72.98/19.73	   1_{0_1}(0_{2_1}(2_{4_1}(4_{0_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.73	   1_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.73	   1_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.73	   1_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.73	   1_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.73	   1_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.73	   3_{0_1}(0_{2_1}(2_{4_1}(4_{0_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.73	   3_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.73	   3_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.73	   3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.73	   3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.73	   3_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.73	   5_{0_1}(0_{2_1}(2_{4_1}(4_{0_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.73	   5_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.73	   5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.73	   5_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.73	   5_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.73	   5_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.73	   0_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 0_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
72.98/19.73	   0_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 0_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
72.98/19.73	   0_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 0_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
72.98/19.73	   0_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 0_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
72.98/19.73	   0_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 0_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
72.98/19.73	   0_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 0_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
72.98/19.73	   4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
72.98/19.73	   4_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
72.98/19.73	   4_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
72.98/19.73	   4_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
72.98/19.73	   4_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
72.98/19.73	   4_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
72.98/19.73	   1_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
72.98/19.73	   1_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
72.98/19.73	   1_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
72.98/19.73	   1_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
72.98/19.73	   1_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
72.98/19.73	   1_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
72.98/19.73	   2_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
72.98/19.73	   2_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
72.98/19.73	   2_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
72.98/19.73	   2_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
72.98/19.73	   2_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
72.98/19.73	   2_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
72.98/19.73	   3_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 3_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
72.98/19.73	   3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 3_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
72.98/19.73	   3_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 3_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
72.98/19.73	   3_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 3_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
72.98/19.73	   3_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 3_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
72.98/19.73	   3_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 3_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
72.98/19.73	   5_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 5_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
72.98/19.73	   5_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 5_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
72.98/19.73	   5_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 5_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
72.98/19.73	   5_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 5_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
72.98/19.73	   5_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 5_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
72.98/19.73	   5_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 5_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
72.98/19.73	   0_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
72.98/19.73	   0_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
72.98/19.73	   0_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
72.98/19.73	   0_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
72.98/19.73	   0_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
72.98/19.73	   0_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
72.98/19.73	   4_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
72.98/19.73	   4_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
72.98/19.73	   4_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
72.98/19.73	   4_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
72.98/19.73	   4_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
72.98/19.73	   4_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
72.98/19.73	   1_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
72.98/19.73	   1_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
72.98/19.73	   1_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
72.98/19.73	   1_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
72.98/19.73	   1_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
72.98/19.73	   1_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
72.98/19.73	   2_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
72.98/19.73	   2_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
72.98/19.73	   2_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
72.98/19.73	   2_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
72.98/19.73	   2_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
72.98/19.73	   2_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
72.98/19.73	   3_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
72.98/19.73	   3_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
72.98/19.73	   3_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
72.98/19.73	   3_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
72.98/19.73	   3_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
72.98/19.73	   3_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
72.98/19.73	   5_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
72.98/19.73	   5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
72.98/19.73	   5_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
72.98/19.73	   5_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
72.98/19.73	   5_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
72.98/19.73	   5_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
72.98/19.73	   0_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.73	   0_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.73	   0_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.73	   0_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.73	   0_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.73	   0_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.73	   4_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.73	   4_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.73	   4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.73	   4_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.73	   4_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.73	   4_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.73	   1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.73	   1_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.73	   1_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.73	   1_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.73	   1_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.73	   1_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.73	   2_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.73	   2_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.73	   2_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.73	   2_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.73	   2_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.73	   2_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.73	   3_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.73	   3_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.73	   3_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.73	   3_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.73	   3_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.73	   3_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.73	   5_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.73	   5_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.73	   5_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.73	   5_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.73	   5_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.73	   5_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.73	   0_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.73	   0_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.73	   0_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.73	   0_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.73	   0_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.73	   0_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.73	   4_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.73	   4_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.73	   4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.73	   4_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.73	   4_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.73	   4_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.73	   1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.73	   1_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.73	   1_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.73	   1_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.73	   1_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.73	   1_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.73	   2_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.73	   2_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.73	   2_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.73	   2_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.73	   2_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.73	   2_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.73	   3_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.73	   3_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.73	   3_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.73	   3_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.73	   3_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.73	   3_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.73	   5_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.73	   5_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.73	   5_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.73	   5_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.73	   5_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.73	   5_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.73	
72.98/19.73	Q is empty.
72.98/19.73	
72.98/19.73	----------------------------------------
72.98/19.73	
72.98/19.73	(7) QTRSRRRProof (EQUIVALENT)
72.98/19.73	Used ordering:
72.98/19.73	Polynomial interpretation [POLO]:
72.98/19.73	
72.98/19.73	   POL(0_{1_1}(x_1)) = 4 + x_1
72.98/19.73	   POL(0_{2_1}(x_1)) = x_1
72.98/19.73	   POL(0_{3_1}(x_1)) = x_1
72.98/19.73	   POL(0_{4_1}(x_1)) = 2 + x_1
72.98/19.73	   POL(0_{5_1}(x_1)) = 4 + x_1
72.98/19.73	   POL(1_{0_1}(x_1)) = 5 + x_1
72.98/19.73	   POL(1_{1_1}(x_1)) = 1 + x_1
72.98/19.73	   POL(1_{2_1}(x_1)) = x_1
72.98/19.73	   POL(1_{3_1}(x_1)) = x_1
72.98/19.73	   POL(1_{4_1}(x_1)) = x_1
72.98/19.73	   POL(1_{5_1}(x_1)) = 1 + x_1
72.98/19.73	   POL(2_{0_1}(x_1)) = 4 + x_1
72.98/19.73	   POL(2_{1_1}(x_1)) = x_1
72.98/19.73	   POL(2_{2_1}(x_1)) = 3 + x_1
72.98/19.73	   POL(2_{3_1}(x_1)) = x_1
72.98/19.73	   POL(2_{4_1}(x_1)) = x_1
72.98/19.73	   POL(2_{5_1}(x_1)) = x_1
72.98/19.73	   POL(3_{0_1}(x_1)) = 4 + x_1
72.98/19.73	   POL(3_{1_1}(x_1)) = x_1
72.98/19.73	   POL(3_{2_1}(x_1)) = x_1
72.98/19.73	   POL(3_{3_1}(x_1)) = x_1
72.98/19.73	   POL(3_{4_1}(x_1)) = x_1
72.98/19.73	   POL(3_{5_1}(x_1)) = x_1
72.98/19.73	   POL(4_{0_1}(x_1)) = x_1
72.98/19.73	   POL(4_{1_1}(x_1)) = x_1
72.98/19.73	   POL(4_{2_1}(x_1)) = x_1
72.98/19.73	   POL(4_{3_1}(x_1)) = x_1
72.98/19.73	   POL(4_{4_1}(x_1)) = 3 + x_1
72.98/19.73	   POL(4_{5_1}(x_1)) = x_1
72.98/19.73	   POL(5_{0_1}(x_1)) = 6 + x_1
72.98/19.73	   POL(5_{1_1}(x_1)) = 2 + x_1
72.98/19.73	   POL(5_{2_1}(x_1)) = x_1
72.98/19.73	   POL(5_{4_1}(x_1)) = x_1
72.98/19.73	   POL(5_{5_1}(x_1)) = 2 + x_1
72.98/19.73	With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:
72.98/19.73	
72.98/19.73	   0_{4_1}(4_{4_1}(x1)) -> 0_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(x1))))))
72.98/19.73	   0_{1_1}(1_{3_1}(3_{2_1}(x1))) -> 0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(x1))))))
72.98/19.73	   1_{3_1}(3_{5_1}(5_{0_1}(x1))) -> 1_{1_1}(1_{4_1}(4_{3_1}(3_{3_1}(3_{2_1}(2_{0_1}(x1))))))
72.98/19.73	
72.98/19.73	
72.98/19.73	
72.98/19.73	
72.98/19.73	----------------------------------------
72.98/19.73	
72.98/19.73	(8)
72.98/19.73	Obligation:
72.98/19.73	Q restricted rewrite system:
72.98/19.73	The TRS R consists of the following rules:
72.98/19.73	
72.98/19.73	   0_{1_1}(1_{1_1}(1_{0_1}(x1))) -> 0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(x1))))))
72.98/19.73	   0_{1_1}(1_{1_1}(1_{4_1}(x1))) -> 0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(x1))))))
72.98/19.73	   0_{1_1}(1_{1_1}(1_{1_1}(x1))) -> 0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(x1))))))
72.98/19.73	   0_{1_1}(1_{1_1}(1_{2_1}(x1))) -> 0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(x1))))))
72.98/19.73	   0_{1_1}(1_{1_1}(1_{3_1}(x1))) -> 0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{3_1}(x1))))))
72.98/19.73	   0_{1_1}(1_{1_1}(1_{5_1}(x1))) -> 0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{5_1}(x1))))))
72.98/19.73	   1_{0_1}(0_{2_1}(2_{4_1}(4_{0_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.73	   1_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.73	   1_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.73	   1_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.73	   1_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.73	   1_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.73	   3_{0_1}(0_{2_1}(2_{4_1}(4_{0_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.73	   3_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.73	   3_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.73	   3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.73	   3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.73	   3_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.73	   5_{0_1}(0_{2_1}(2_{4_1}(4_{0_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.73	   5_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.73	   5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.73	   5_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.73	   5_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.73	   5_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.73	   0_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 0_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
72.98/19.73	   0_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 0_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
72.98/19.73	   0_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 0_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
72.98/19.73	   0_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 0_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
72.98/19.73	   0_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 0_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
72.98/19.73	   0_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 0_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
72.98/19.73	   4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
72.98/19.73	   4_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
72.98/19.73	   4_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
72.98/19.73	   4_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
72.98/19.73	   4_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
72.98/19.73	   4_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
72.98/19.73	   1_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
72.98/19.73	   1_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
72.98/19.73	   1_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
72.98/19.73	   1_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
72.98/19.73	   1_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
72.98/19.73	   1_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
72.98/19.73	   2_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
72.98/19.73	   2_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
72.98/19.73	   2_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
72.98/19.73	   2_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
72.98/19.73	   2_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
72.98/19.73	   2_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
72.98/19.73	   3_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 3_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
72.98/19.73	   3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 3_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
72.98/19.73	   3_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 3_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
72.98/19.73	   3_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 3_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
72.98/19.73	   3_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 3_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
72.98/19.73	   3_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 3_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
72.98/19.73	   5_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 5_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
72.98/19.73	   5_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 5_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
72.98/19.73	   5_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 5_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
72.98/19.73	   5_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 5_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
72.98/19.73	   5_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 5_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
72.98/19.73	   5_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 5_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
72.98/19.73	   0_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
72.98/19.73	   0_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
72.98/19.73	   0_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
72.98/19.73	   0_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
72.98/19.73	   0_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
72.98/19.73	   0_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
72.98/19.73	   4_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
72.98/19.73	   4_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
72.98/19.73	   4_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
72.98/19.73	   4_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
72.98/19.73	   4_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
72.98/19.73	   4_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
72.98/19.73	   1_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
72.98/19.73	   1_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
72.98/19.73	   1_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
72.98/19.73	   1_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
72.98/19.73	   1_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
72.98/19.73	   1_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
72.98/19.73	   2_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
72.98/19.73	   2_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
72.98/19.73	   2_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
72.98/19.73	   2_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
72.98/19.73	   2_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
72.98/19.73	   2_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
72.98/19.73	   3_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
72.98/19.73	   3_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
72.98/19.73	   3_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
72.98/19.73	   3_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
72.98/19.73	   3_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
72.98/19.73	   3_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
72.98/19.73	   5_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
72.98/19.73	   5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
72.98/19.73	   5_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
72.98/19.73	   5_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
72.98/19.73	   5_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
72.98/19.73	   5_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
72.98/19.73	   0_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.73	   0_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.73	   0_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.73	   0_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.73	   0_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.73	   0_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.73	   4_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.73	   4_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.73	   4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.73	   4_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.73	   4_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.73	   4_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.73	   1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.73	   1_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.73	   1_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.73	   1_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.73	   1_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.73	   1_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.73	   2_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.73	   2_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.73	   2_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.73	   2_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.73	   2_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.73	   2_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.73	   3_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.73	   3_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.73	   3_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.73	   3_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.73	   3_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.73	   3_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.73	   5_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.73	   5_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.73	   5_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.73	   5_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.73	   5_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.73	   5_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.73	   0_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.73	   0_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.73	   0_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.73	   0_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.73	   0_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.73	   0_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.73	   4_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.73	   4_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.73	   4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.73	   4_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.73	   4_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.73	   4_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.73	   1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.73	   1_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.73	   1_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.73	   1_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.73	   1_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.73	   1_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.73	   2_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.73	   2_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.73	   2_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.73	   2_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.73	   2_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.73	   2_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.73	   3_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.73	   3_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.73	   3_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.73	   3_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.73	   3_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.73	   3_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.73	   5_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.73	   5_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.73	   5_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.73	   5_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.73	   5_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.73	   5_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.73	
72.98/19.73	Q is empty.
72.98/19.73	
72.98/19.73	----------------------------------------
72.98/19.73	
72.98/19.73	(9) QTRSRRRProof (EQUIVALENT)
72.98/19.73	Used ordering:
72.98/19.73	Polynomial interpretation [POLO]:
72.98/19.73	
72.98/19.73	   POL(0_{1_1}(x_1)) = 1 + x_1
72.98/19.73	   POL(0_{2_1}(x_1)) = x_1
72.98/19.73	   POL(0_{3_1}(x_1)) = x_1
72.98/19.73	   POL(0_{4_1}(x_1)) = x_1
72.98/19.73	   POL(0_{5_1}(x_1)) = 1 + x_1
72.98/19.73	   POL(1_{0_1}(x_1)) = x_1
72.98/19.73	   POL(1_{1_1}(x_1)) = x_1
72.98/19.73	   POL(1_{2_1}(x_1)) = x_1
72.98/19.73	   POL(1_{3_1}(x_1)) = x_1
72.98/19.73	   POL(1_{4_1}(x_1)) = x_1
72.98/19.73	   POL(1_{5_1}(x_1)) = x_1
72.98/19.73	   POL(2_{0_1}(x_1)) = x_1
72.98/19.73	   POL(2_{1_1}(x_1)) = x_1
72.98/19.73	   POL(2_{2_1}(x_1)) = x_1
72.98/19.73	   POL(2_{3_1}(x_1)) = x_1
72.98/19.73	   POL(2_{4_1}(x_1)) = x_1
72.98/19.73	   POL(2_{5_1}(x_1)) = x_1
72.98/19.73	   POL(3_{0_1}(x_1)) = x_1
72.98/19.73	   POL(3_{1_1}(x_1)) = x_1
72.98/19.73	   POL(3_{2_1}(x_1)) = x_1
72.98/19.73	   POL(3_{3_1}(x_1)) = x_1
72.98/19.73	   POL(3_{4_1}(x_1)) = x_1
72.98/19.73	   POL(3_{5_1}(x_1)) = x_1
72.98/19.73	   POL(4_{0_1}(x_1)) = x_1
72.98/19.73	   POL(4_{1_1}(x_1)) = x_1
72.98/19.73	   POL(4_{2_1}(x_1)) = x_1
72.98/19.73	   POL(4_{3_1}(x_1)) = x_1
72.98/19.73	   POL(4_{4_1}(x_1)) = x_1
72.98/19.73	   POL(4_{5_1}(x_1)) = x_1
72.98/19.73	   POL(5_{0_1}(x_1)) = x_1
72.98/19.73	   POL(5_{1_1}(x_1)) = x_1
72.98/19.73	   POL(5_{2_1}(x_1)) = x_1
72.98/19.73	   POL(5_{4_1}(x_1)) = x_1
72.98/19.73	   POL(5_{5_1}(x_1)) = x_1
72.98/19.73	With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:
72.98/19.73	
72.98/19.73	   0_{1_1}(1_{1_1}(1_{0_1}(x1))) -> 0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(x1))))))
72.98/19.73	   0_{1_1}(1_{1_1}(1_{4_1}(x1))) -> 0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{4_1}(x1))))))
72.98/19.73	   0_{1_1}(1_{1_1}(1_{1_1}(x1))) -> 0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(x1))))))
72.98/19.73	   0_{1_1}(1_{1_1}(1_{2_1}(x1))) -> 0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(x1))))))
72.98/19.73	   0_{1_1}(1_{1_1}(1_{3_1}(x1))) -> 0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{3_1}(x1))))))
72.98/19.73	   0_{1_1}(1_{1_1}(1_{5_1}(x1))) -> 0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{5_1}(x1))))))
72.98/19.73	
72.98/19.73	
72.98/19.73	
72.98/19.73	
72.98/19.73	----------------------------------------
72.98/19.73	
72.98/19.73	(10)
72.98/19.73	Obligation:
72.98/19.73	Q restricted rewrite system:
72.98/19.73	The TRS R consists of the following rules:
72.98/19.73	
72.98/19.73	   1_{0_1}(0_{2_1}(2_{4_1}(4_{0_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.73	   1_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.73	   1_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.73	   1_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.73	   1_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.73	   1_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.73	   3_{0_1}(0_{2_1}(2_{4_1}(4_{0_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.73	   3_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.73	   3_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.73	   3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.73	   3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.73	   3_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.73	   5_{0_1}(0_{2_1}(2_{4_1}(4_{0_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.73	   5_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.73	   5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.73	   5_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.73	   5_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.73	   5_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.73	   0_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 0_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
72.98/19.73	   0_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 0_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
72.98/19.73	   0_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 0_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
72.98/19.73	   0_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 0_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
72.98/19.73	   0_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 0_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
72.98/19.73	   0_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 0_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
72.98/19.73	   4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
72.98/19.73	   4_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
72.98/19.73	   4_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
72.98/19.73	   4_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
72.98/19.73	   4_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
72.98/19.73	   4_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
72.98/19.73	   1_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
72.98/19.73	   1_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
72.98/19.73	   1_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
72.98/19.73	   1_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
72.98/19.73	   1_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
72.98/19.73	   1_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
72.98/19.73	   2_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
72.98/19.73	   2_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
72.98/19.73	   2_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
72.98/19.73	   2_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
72.98/19.73	   2_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
72.98/19.73	   2_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
72.98/19.73	   3_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 3_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
72.98/19.73	   3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 3_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
72.98/19.73	   3_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 3_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
72.98/19.73	   3_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 3_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
72.98/19.74	   3_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 3_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
72.98/19.74	   3_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 3_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
72.98/19.74	   5_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 5_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
72.98/19.74	   5_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 5_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
72.98/19.74	   5_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 5_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
72.98/19.74	   5_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 5_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
72.98/19.74	   5_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 5_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
72.98/19.74	   5_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 5_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
72.98/19.74	   0_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
72.98/19.74	   0_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
72.98/19.74	   0_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
72.98/19.74	   0_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
72.98/19.74	   0_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
72.98/19.74	   0_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
72.98/19.74	   4_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
72.98/19.74	   4_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
72.98/19.74	   4_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
72.98/19.74	   4_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
72.98/19.74	   4_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
72.98/19.74	   4_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
72.98/19.74	   1_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
72.98/19.74	   1_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
72.98/19.74	   1_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
72.98/19.74	   1_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
72.98/19.74	   1_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
72.98/19.74	   1_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
72.98/19.74	   2_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
72.98/19.74	   2_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
72.98/19.74	   2_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
72.98/19.74	   2_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
72.98/19.74	   2_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
72.98/19.74	   2_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
72.98/19.74	   3_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
72.98/19.74	   3_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
72.98/19.74	   3_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
72.98/19.74	   3_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
72.98/19.74	   3_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
72.98/19.74	   3_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
72.98/19.74	   5_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
72.98/19.74	   5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
72.98/19.74	   5_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
72.98/19.74	   5_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
72.98/19.74	   5_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
72.98/19.74	   5_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
72.98/19.74	   0_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.74	   0_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.74	   0_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.74	   0_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.74	   0_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.74	   0_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.74	   4_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.74	   4_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.74	   4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.74	   4_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.74	   4_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.74	   4_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.74	   1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.74	   1_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.74	   1_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.74	   1_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.74	   1_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.74	   1_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.74	   2_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.74	   2_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.74	   2_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.74	   2_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.74	   2_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.74	   2_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.74	   3_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.74	   3_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.74	   3_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.74	   3_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.74	   3_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.74	   3_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.74	   5_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.74	   5_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.74	   5_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.74	   5_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.74	   5_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.74	   5_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.74	   0_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.74	   0_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.74	   0_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.74	   0_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.74	   0_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.74	   0_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.74	   4_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.74	   4_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.74	   4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.74	   4_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.74	   4_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.74	   4_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.74	   1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.74	   1_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.74	   1_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.74	   1_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.74	   1_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.74	   1_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.74	   2_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.74	   2_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.74	   2_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.74	   2_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.74	   2_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.74	   2_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.74	   3_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.74	   3_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.74	   3_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.74	   3_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.74	   3_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.74	   3_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.74	   5_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.74	   5_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.74	   5_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.74	   5_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.74	   5_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.74	   5_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.74	
72.98/19.74	Q is empty.
72.98/19.74	
72.98/19.74	----------------------------------------
72.98/19.74	
72.98/19.74	(11) QTRSRRRProof (EQUIVALENT)
72.98/19.74	Used ordering:
72.98/19.74	Polynomial interpretation [POLO]:
72.98/19.74	
72.98/19.74	   POL(0_{1_1}(x_1)) = x_1
72.98/19.74	   POL(0_{2_1}(x_1)) = 1 + x_1
72.98/19.74	   POL(0_{3_1}(x_1)) = x_1
72.98/19.74	   POL(0_{4_1}(x_1)) = 1 + x_1
72.98/19.74	   POL(0_{5_1}(x_1)) = x_1
72.98/19.74	   POL(1_{0_1}(x_1)) = x_1
72.98/19.74	   POL(1_{1_1}(x_1)) = x_1
72.98/19.74	   POL(1_{3_1}(x_1)) = 1 + x_1
72.98/19.74	   POL(1_{5_1}(x_1)) = x_1
72.98/19.74	   POL(2_{0_1}(x_1)) = x_1
72.98/19.74	   POL(2_{1_1}(x_1)) = x_1
72.98/19.74	   POL(2_{2_1}(x_1)) = x_1
72.98/19.74	   POL(2_{3_1}(x_1)) = x_1
72.98/19.74	   POL(2_{4_1}(x_1)) = x_1
72.98/19.74	   POL(2_{5_1}(x_1)) = x_1
72.98/19.74	   POL(3_{0_1}(x_1)) = x_1
72.98/19.74	   POL(3_{1_1}(x_1)) = 1 + x_1
72.98/19.74	   POL(3_{2_1}(x_1)) = 1 + x_1
72.98/19.74	   POL(3_{3_1}(x_1)) = x_1
72.98/19.74	   POL(3_{4_1}(x_1)) = x_1
72.98/19.74	   POL(3_{5_1}(x_1)) = 1 + x_1
72.98/19.74	   POL(4_{0_1}(x_1)) = x_1
72.98/19.74	   POL(4_{1_1}(x_1)) = x_1
72.98/19.74	   POL(4_{2_1}(x_1)) = x_1
72.98/19.74	   POL(4_{3_1}(x_1)) = x_1
72.98/19.74	   POL(4_{4_1}(x_1)) = x_1
72.98/19.74	   POL(4_{5_1}(x_1)) = x_1
72.98/19.74	   POL(5_{0_1}(x_1)) = x_1
72.98/19.74	   POL(5_{1_1}(x_1)) = 1 + x_1
72.98/19.74	   POL(5_{2_1}(x_1)) = x_1
72.98/19.74	   POL(5_{4_1}(x_1)) = x_1
72.98/19.74	   POL(5_{5_1}(x_1)) = 1 + x_1
72.98/19.74	With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:
72.98/19.74	
72.98/19.74	   1_{0_1}(0_{2_1}(2_{4_1}(4_{0_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.74	   1_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.74	   1_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.74	   1_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.74	   1_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.74	   1_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.74	
72.98/19.74	
72.98/19.74	
72.98/19.74	
72.98/19.74	----------------------------------------
72.98/19.74	
72.98/19.74	(12)
72.98/19.74	Obligation:
72.98/19.74	Q restricted rewrite system:
72.98/19.74	The TRS R consists of the following rules:
72.98/19.74	
72.98/19.74	   3_{0_1}(0_{2_1}(2_{4_1}(4_{0_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.74	   3_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.74	   3_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.74	   3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   3_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   5_{0_1}(0_{2_1}(2_{4_1}(4_{0_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   5_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   5_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   5_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   5_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   0_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 0_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
72.98/19.75	   0_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 0_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
72.98/19.75	   0_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 0_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
72.98/19.75	   0_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 0_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
72.98/19.75	   0_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 0_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
72.98/19.75	   0_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 0_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
72.98/19.75	   4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
72.98/19.75	   4_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
72.98/19.75	   4_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
72.98/19.75	   4_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
72.98/19.75	   4_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
72.98/19.75	   4_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
72.98/19.75	   1_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
72.98/19.75	   1_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
72.98/19.75	   1_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
72.98/19.75	   1_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
72.98/19.75	   1_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
72.98/19.75	   1_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
72.98/19.75	   2_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
72.98/19.75	   2_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
72.98/19.75	   2_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
72.98/19.75	   2_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
72.98/19.75	   2_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
72.98/19.75	   2_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
72.98/19.75	   3_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 3_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
72.98/19.75	   3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 3_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
72.98/19.75	   3_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 3_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
72.98/19.75	   3_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 3_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
72.98/19.75	   3_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 3_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
72.98/19.75	   3_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 3_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
72.98/19.75	   5_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 5_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
72.98/19.75	   5_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 5_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
72.98/19.75	   5_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 5_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
72.98/19.75	   5_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 5_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
72.98/19.75	   5_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 5_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
72.98/19.75	   5_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 5_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	
72.98/19.75	Q is empty.
72.98/19.75	
72.98/19.75	----------------------------------------
72.98/19.75	
72.98/19.75	(13) QTRSRRRProof (EQUIVALENT)
72.98/19.75	Used ordering:
72.98/19.75	Polynomial interpretation [POLO]:
72.98/19.75	
72.98/19.75	   POL(0_{1_1}(x_1)) = x_1
72.98/19.75	   POL(0_{2_1}(x_1)) = x_1
72.98/19.75	   POL(0_{3_1}(x_1)) = x_1
72.98/19.75	   POL(0_{4_1}(x_1)) = x_1
72.98/19.75	   POL(0_{5_1}(x_1)) = x_1
72.98/19.75	   POL(1_{0_1}(x_1)) = x_1
72.98/19.75	   POL(1_{1_1}(x_1)) = x_1
72.98/19.75	   POL(1_{3_1}(x_1)) = x_1
72.98/19.75	   POL(1_{5_1}(x_1)) = x_1
72.98/19.75	   POL(2_{0_1}(x_1)) = x_1
72.98/19.75	   POL(2_{1_1}(x_1)) = x_1
72.98/19.75	   POL(2_{2_1}(x_1)) = x_1
72.98/19.75	   POL(2_{3_1}(x_1)) = x_1
72.98/19.75	   POL(2_{4_1}(x_1)) = x_1
72.98/19.75	   POL(2_{5_1}(x_1)) = x_1
72.98/19.75	   POL(3_{0_1}(x_1)) = 1 + x_1
72.98/19.75	   POL(3_{1_1}(x_1)) = x_1
72.98/19.75	   POL(3_{2_1}(x_1)) = x_1
72.98/19.75	   POL(3_{3_1}(x_1)) = x_1
72.98/19.75	   POL(3_{4_1}(x_1)) = x_1
72.98/19.75	   POL(3_{5_1}(x_1)) = x_1
72.98/19.75	   POL(4_{0_1}(x_1)) = x_1
72.98/19.75	   POL(4_{1_1}(x_1)) = x_1
72.98/19.75	   POL(4_{2_1}(x_1)) = x_1
72.98/19.75	   POL(4_{3_1}(x_1)) = x_1
72.98/19.75	   POL(4_{4_1}(x_1)) = x_1
72.98/19.75	   POL(4_{5_1}(x_1)) = x_1
72.98/19.75	   POL(5_{0_1}(x_1)) = x_1
72.98/19.75	   POL(5_{1_1}(x_1)) = x_1
72.98/19.75	   POL(5_{2_1}(x_1)) = x_1
72.98/19.75	   POL(5_{4_1}(x_1)) = x_1
72.98/19.75	   POL(5_{5_1}(x_1)) = x_1
72.98/19.75	With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:
72.98/19.75	
72.98/19.75	   3_{0_1}(0_{2_1}(2_{4_1}(4_{0_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   3_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   3_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   3_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   3_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	
72.98/19.75	
72.98/19.75	
72.98/19.75	
72.98/19.75	----------------------------------------
72.98/19.75	
72.98/19.75	(14)
72.98/19.75	Obligation:
72.98/19.75	Q restricted rewrite system:
72.98/19.75	The TRS R consists of the following rules:
72.98/19.75	
72.98/19.75	   5_{0_1}(0_{2_1}(2_{4_1}(4_{0_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   5_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   5_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   5_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   5_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   0_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 0_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
72.98/19.75	   0_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 0_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
72.98/19.75	   0_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 0_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
72.98/19.75	   0_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 0_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
72.98/19.75	   0_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 0_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
72.98/19.75	   0_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 0_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
72.98/19.75	   4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
72.98/19.75	   4_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
72.98/19.75	   4_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
72.98/19.75	   4_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
72.98/19.75	   4_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
72.98/19.75	   4_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
72.98/19.75	   1_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
72.98/19.75	   1_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
72.98/19.75	   1_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
72.98/19.75	   1_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
72.98/19.75	   1_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
72.98/19.75	   1_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
72.98/19.75	   2_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
72.98/19.75	   2_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
72.98/19.75	   2_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
72.98/19.75	   2_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
72.98/19.75	   2_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
72.98/19.75	   2_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
72.98/19.75	   3_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 3_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
72.98/19.75	   3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 3_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
72.98/19.75	   3_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 3_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
72.98/19.75	   3_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 3_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
72.98/19.75	   3_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 3_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
72.98/19.75	   3_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 3_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
72.98/19.75	   5_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 5_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
72.98/19.75	   5_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 5_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
72.98/19.75	   5_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 5_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
72.98/19.75	   5_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 5_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
72.98/19.75	   5_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 5_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
72.98/19.75	   5_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 5_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	
72.98/19.75	Q is empty.
72.98/19.75	
72.98/19.75	----------------------------------------
72.98/19.75	
72.98/19.75	(15) QTRSRRRProof (EQUIVALENT)
72.98/19.75	Used ordering:
72.98/19.75	Polynomial interpretation [POLO]:
72.98/19.75	
72.98/19.75	   POL(0_{1_1}(x_1)) = x_1
72.98/19.75	   POL(0_{2_1}(x_1)) = 1 + x_1
72.98/19.75	   POL(0_{3_1}(x_1)) = x_1
72.98/19.75	   POL(0_{4_1}(x_1)) = x_1
72.98/19.75	   POL(0_{5_1}(x_1)) = x_1
72.98/19.75	   POL(1_{0_1}(x_1)) = x_1
72.98/19.75	   POL(1_{1_1}(x_1)) = x_1
72.98/19.75	   POL(1_{3_1}(x_1)) = x_1
72.98/19.75	   POL(1_{5_1}(x_1)) = x_1
72.98/19.75	   POL(2_{0_1}(x_1)) = x_1
72.98/19.75	   POL(2_{1_1}(x_1)) = x_1
72.98/19.75	   POL(2_{2_1}(x_1)) = x_1
72.98/19.75	   POL(2_{3_1}(x_1)) = x_1
72.98/19.75	   POL(2_{4_1}(x_1)) = x_1
72.98/19.75	   POL(2_{5_1}(x_1)) = x_1
72.98/19.75	   POL(3_{0_1}(x_1)) = x_1
72.98/19.75	   POL(3_{1_1}(x_1)) = x_1
72.98/19.75	   POL(3_{2_1}(x_1)) = x_1
72.98/19.75	   POL(3_{3_1}(x_1)) = x_1
72.98/19.75	   POL(3_{4_1}(x_1)) = x_1
72.98/19.75	   POL(3_{5_1}(x_1)) = x_1
72.98/19.75	   POL(4_{0_1}(x_1)) = x_1
72.98/19.75	   POL(4_{1_1}(x_1)) = x_1
72.98/19.75	   POL(4_{2_1}(x_1)) = x_1
72.98/19.75	   POL(4_{3_1}(x_1)) = x_1
72.98/19.75	   POL(4_{4_1}(x_1)) = x_1
72.98/19.75	   POL(4_{5_1}(x_1)) = x_1
72.98/19.75	   POL(5_{0_1}(x_1)) = x_1
72.98/19.75	   POL(5_{1_1}(x_1)) = x_1
72.98/19.75	   POL(5_{2_1}(x_1)) = x_1
72.98/19.75	   POL(5_{4_1}(x_1)) = x_1
72.98/19.75	   POL(5_{5_1}(x_1)) = x_1
72.98/19.75	With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:
72.98/19.75	
72.98/19.75	   5_{0_1}(0_{2_1}(2_{4_1}(4_{0_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   5_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   5_{0_1}(0_{2_1}(2_{4_1}(4_{1_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   5_{0_1}(0_{2_1}(2_{4_1}(4_{2_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   5_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   5_{0_1}(0_{2_1}(2_{4_1}(4_{5_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	
72.98/19.75	
72.98/19.75	
72.98/19.75	
72.98/19.75	----------------------------------------
72.98/19.75	
72.98/19.75	(16)
72.98/19.75	Obligation:
72.98/19.75	Q restricted rewrite system:
72.98/19.75	The TRS R consists of the following rules:
72.98/19.75	
72.98/19.75	   0_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 0_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
72.98/19.75	   0_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 0_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
72.98/19.75	   0_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 0_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
72.98/19.75	   0_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 0_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
72.98/19.75	   0_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 0_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
72.98/19.75	   0_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 0_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
72.98/19.75	   4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
72.98/19.75	   4_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
72.98/19.75	   4_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
72.98/19.75	   4_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
72.98/19.75	   4_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
72.98/19.75	   4_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
72.98/19.75	   1_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
72.98/19.75	   1_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
72.98/19.75	   1_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
72.98/19.75	   1_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
72.98/19.75	   1_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
72.98/19.75	   1_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
72.98/19.75	   2_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
72.98/19.75	   2_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
72.98/19.75	   2_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
72.98/19.75	   2_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
72.98/19.75	   2_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
72.98/19.75	   2_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
72.98/19.75	   3_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 3_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
72.98/19.75	   3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 3_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
72.98/19.75	   3_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 3_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
72.98/19.75	   3_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 3_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
72.98/19.75	   3_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 3_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
72.98/19.75	   3_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 3_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
72.98/19.75	   5_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 5_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
72.98/19.75	   5_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 5_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
72.98/19.75	   5_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 5_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
72.98/19.75	   5_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 5_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
72.98/19.75	   5_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 5_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
72.98/19.75	   5_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 5_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	
72.98/19.75	Q is empty.
72.98/19.75	
72.98/19.75	----------------------------------------
72.98/19.75	
72.98/19.75	(17) QTRSRRRProof (EQUIVALENT)
72.98/19.75	Used ordering:
72.98/19.75	Polynomial interpretation [POLO]:
72.98/19.75	
72.98/19.75	   POL(0_{1_1}(x_1)) = x_1
72.98/19.75	   POL(0_{2_1}(x_1)) = x_1
72.98/19.75	   POL(0_{3_1}(x_1)) = x_1
72.98/19.75	   POL(0_{4_1}(x_1)) = x_1
72.98/19.75	   POL(0_{5_1}(x_1)) = x_1
72.98/19.75	   POL(1_{0_1}(x_1)) = x_1
72.98/19.75	   POL(1_{1_1}(x_1)) = x_1
72.98/19.75	   POL(1_{3_1}(x_1)) = x_1
72.98/19.75	   POL(1_{5_1}(x_1)) = x_1
72.98/19.75	   POL(2_{0_1}(x_1)) = x_1
72.98/19.75	   POL(2_{1_1}(x_1)) = x_1
72.98/19.75	   POL(2_{2_1}(x_1)) = x_1
72.98/19.75	   POL(2_{3_1}(x_1)) = x_1
72.98/19.75	   POL(2_{4_1}(x_1)) = x_1
72.98/19.75	   POL(2_{5_1}(x_1)) = x_1
72.98/19.75	   POL(3_{0_1}(x_1)) = x_1
72.98/19.75	   POL(3_{1_1}(x_1)) = x_1
72.98/19.75	   POL(3_{2_1}(x_1)) = x_1
72.98/19.75	   POL(3_{3_1}(x_1)) = 1 + x_1
72.98/19.75	   POL(3_{4_1}(x_1)) = x_1
72.98/19.75	   POL(3_{5_1}(x_1)) = x_1
72.98/19.75	   POL(4_{0_1}(x_1)) = x_1
72.98/19.75	   POL(4_{1_1}(x_1)) = x_1
72.98/19.75	   POL(4_{2_1}(x_1)) = x_1
72.98/19.75	   POL(4_{3_1}(x_1)) = x_1
72.98/19.75	   POL(4_{4_1}(x_1)) = x_1
72.98/19.75	   POL(4_{5_1}(x_1)) = x_1
72.98/19.75	   POL(5_{0_1}(x_1)) = x_1
72.98/19.75	   POL(5_{1_1}(x_1)) = x_1
72.98/19.75	   POL(5_{2_1}(x_1)) = x_1
72.98/19.75	   POL(5_{4_1}(x_1)) = x_1
72.98/19.75	   POL(5_{5_1}(x_1)) = x_1
72.98/19.75	With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:
72.98/19.75	
72.98/19.75	   0_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 0_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
72.98/19.75	   0_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 0_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
72.98/19.75	   0_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 0_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
72.98/19.75	   0_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 0_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
72.98/19.75	   0_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 0_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
72.98/19.75	   0_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 0_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
72.98/19.75	   4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
72.98/19.75	   4_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
72.98/19.75	   4_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
72.98/19.75	   4_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
72.98/19.75	   4_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
72.98/19.75	   4_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 4_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
72.98/19.75	   1_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
72.98/19.75	   1_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
72.98/19.75	   1_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
72.98/19.75	   1_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
72.98/19.75	   1_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
72.98/19.75	   1_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 1_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
72.98/19.75	   2_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
72.98/19.75	   2_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
72.98/19.75	   2_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
72.98/19.75	   2_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
72.98/19.75	   2_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
72.98/19.75	   2_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 2_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
72.98/19.75	   3_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 3_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
72.98/19.75	   3_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 3_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
72.98/19.75	   3_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 3_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
72.98/19.75	   3_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 3_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
72.98/19.75	   3_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 3_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
72.98/19.75	   3_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 3_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
72.98/19.75	   5_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(x1)))) -> 5_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{0_1}(x1)))))))
72.98/19.75	   5_{1_1}(1_{3_1}(3_{3_1}(3_{4_1}(x1)))) -> 5_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(x1)))))))
72.98/19.75	   5_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(x1)))) -> 5_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{1_1}(x1)))))))
72.98/19.75	   5_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(x1)))) -> 5_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(x1)))))))
72.98/19.75	   5_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(x1)))) -> 5_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{3_1}(x1)))))))
72.98/19.75	   5_{1_1}(1_{3_1}(3_{3_1}(3_{5_1}(x1)))) -> 5_{5_1}(5_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(x1)))))))
72.98/19.75	
72.98/19.75	
72.98/19.75	
72.98/19.75	
72.98/19.75	----------------------------------------
72.98/19.75	
72.98/19.75	(18)
72.98/19.75	Obligation:
72.98/19.75	Q restricted rewrite system:
72.98/19.75	The TRS R consists of the following rules:
72.98/19.75	
72.98/19.75	   0_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	
72.98/19.75	Q is empty.
72.98/19.75	
72.98/19.75	----------------------------------------
72.98/19.75	
72.98/19.75	(19) QTRSRRRProof (EQUIVALENT)
72.98/19.75	Used ordering:
72.98/19.75	Polynomial interpretation [POLO]:
72.98/19.75	
72.98/19.75	   POL(0_{1_1}(x_1)) = x_1
72.98/19.75	   POL(0_{2_1}(x_1)) = x_1
72.98/19.75	   POL(0_{3_1}(x_1)) = x_1
72.98/19.75	   POL(0_{4_1}(x_1)) = x_1
72.98/19.75	   POL(0_{5_1}(x_1)) = x_1
72.98/19.75	   POL(1_{0_1}(x_1)) = x_1
72.98/19.75	   POL(1_{1_1}(x_1)) = x_1
72.98/19.75	   POL(1_{5_1}(x_1)) = x_1
72.98/19.75	   POL(2_{0_1}(x_1)) = x_1
72.98/19.75	   POL(2_{1_1}(x_1)) = x_1
72.98/19.75	   POL(2_{2_1}(x_1)) = x_1
72.98/19.75	   POL(2_{3_1}(x_1)) = x_1
72.98/19.75	   POL(2_{4_1}(x_1)) = x_1
72.98/19.75	   POL(2_{5_1}(x_1)) = x_1
72.98/19.75	   POL(3_{1_1}(x_1)) = x_1
72.98/19.75	   POL(3_{2_1}(x_1)) = 1 + x_1
72.98/19.75	   POL(3_{4_1}(x_1)) = 1 + x_1
72.98/19.75	   POL(3_{5_1}(x_1)) = x_1
72.98/19.75	   POL(4_{0_1}(x_1)) = x_1
72.98/19.75	   POL(4_{1_1}(x_1)) = x_1
72.98/19.75	   POL(4_{2_1}(x_1)) = x_1
72.98/19.75	   POL(4_{3_1}(x_1)) = x_1
72.98/19.75	   POL(4_{4_1}(x_1)) = x_1
72.98/19.75	   POL(4_{5_1}(x_1)) = x_1
72.98/19.75	   POL(5_{0_1}(x_1)) = 1 + x_1
72.98/19.75	   POL(5_{1_1}(x_1)) = x_1
72.98/19.75	   POL(5_{2_1}(x_1)) = x_1
72.98/19.75	   POL(5_{5_1}(x_1)) = x_1
72.98/19.75	With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:
72.98/19.75	
72.98/19.75	   0_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{2_1}(2_{0_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{4_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{2_1}(2_{1_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{2_1}(2_{2_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{3_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(x1)))))))
72.98/19.75	
72.98/19.75	
72.98/19.75	
72.98/19.75	
72.98/19.75	----------------------------------------
72.98/19.75	
72.98/19.75	(20)
72.98/19.75	Obligation:
72.98/19.75	Q restricted rewrite system:
72.98/19.75	The TRS R consists of the following rules:
72.98/19.75	
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   5_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   0_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   4_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   1_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.75	   2_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.75	   3_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.76	   3_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.76	   5_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.76	   5_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.76	   5_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.76	   5_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.76	   5_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.76	   5_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.76	
72.98/19.76	Q is empty.
72.98/19.76	
72.98/19.76	----------------------------------------
72.98/19.76	
72.98/19.76	(21) QTRSRRRProof (EQUIVALENT)
72.98/19.76	Used ordering:
72.98/19.76	Polynomial interpretation [POLO]:
72.98/19.76	
72.98/19.76	   POL(0_{1_1}(x_1)) = x_1
72.98/19.76	   POL(0_{3_1}(x_1)) = x_1
72.98/19.76	   POL(0_{4_1}(x_1)) = x_1
72.98/19.76	   POL(0_{5_1}(x_1)) = 1 + x_1
72.98/19.76	   POL(1_{0_1}(x_1)) = x_1
72.98/19.76	   POL(1_{1_1}(x_1)) = x_1
72.98/19.76	   POL(1_{5_1}(x_1)) = 1 + x_1
72.98/19.76	   POL(2_{1_1}(x_1)) = x_1
72.98/19.76	   POL(2_{4_1}(x_1)) = x_1
72.98/19.76	   POL(2_{5_1}(x_1)) = 1 + x_1
72.98/19.76	   POL(3_{1_1}(x_1)) = x_1
72.98/19.76	   POL(3_{2_1}(x_1)) = x_1
72.98/19.76	   POL(3_{4_1}(x_1)) = x_1
72.98/19.76	   POL(3_{5_1}(x_1)) = 1 + x_1
72.98/19.76	   POL(4_{0_1}(x_1)) = x_1
72.98/19.76	   POL(4_{1_1}(x_1)) = x_1
72.98/19.76	   POL(4_{2_1}(x_1)) = x_1
72.98/19.76	   POL(4_{3_1}(x_1)) = x_1
72.98/19.76	   POL(4_{4_1}(x_1)) = x_1
72.98/19.76	   POL(4_{5_1}(x_1)) = 1 + x_1
72.98/19.76	   POL(5_{0_1}(x_1)) = x_1
72.98/19.76	   POL(5_{1_1}(x_1)) = x_1
72.98/19.76	   POL(5_{5_1}(x_1)) = 1 + x_1
72.98/19.76	With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:
72.98/19.76	
72.98/19.76	   0_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.76	   0_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.76	   0_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.76	   0_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.76	   0_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.76	   0_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.76	   4_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.76	   4_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.76	   4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.76	   4_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.76	   4_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.76	   4_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 4_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.76	   1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.76	   1_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.76	   1_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.76	   1_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.76	   1_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.76	   1_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 1_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.76	   2_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.76	   2_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.76	   2_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.76	   2_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.76	   2_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.76	   2_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 2_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.76	   3_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.76	   3_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.76	   3_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.76	   3_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.76	   3_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.76	   3_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 3_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.76	   5_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1)))))))
72.98/19.76	   5_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1)))))))
72.98/19.76	   5_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1)))))))
72.98/19.76	   5_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1)))))))
72.98/19.76	   5_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1)))))))
72.98/19.76	   5_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 5_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1)))))))
72.98/19.76	
72.98/19.76	
72.98/19.76	
72.98/19.76	
72.98/19.76	----------------------------------------
72.98/19.76	
72.98/19.76	(22)
72.98/19.76	Obligation:
72.98/19.76	Q restricted rewrite system:
72.98/19.76	The TRS R consists of the following rules:
72.98/19.76	
72.98/19.76	   0_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.76	   0_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.76	   0_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.76	   0_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.76	   0_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.76	   0_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.76	   4_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.76	   4_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.76	   4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.76	   4_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.76	   4_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.76	   4_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.76	   1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.76	   1_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.76	   1_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.76	   1_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.76	   1_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.76	   1_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.76	   2_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.76	   2_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.76	   2_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.76	   2_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.76	   2_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.76	   2_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.76	   3_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.76	   3_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.76	   3_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.76	   3_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.76	   3_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.76	   3_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.76	   5_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.76	   5_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.76	   5_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.76	   5_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.76	   5_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.76	   5_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.76	
72.98/19.76	Q is empty.
72.98/19.76	
72.98/19.76	----------------------------------------
72.98/19.76	
72.98/19.76	(23) QTRSRRRProof (EQUIVALENT)
72.98/19.76	Used ordering:
72.98/19.76	Polynomial interpretation [POLO]:
72.98/19.76	
72.98/19.76	   POL(0_{1_1}(x_1)) = x_1
72.98/19.76	   POL(0_{3_1}(x_1)) = x_1
72.98/19.76	   POL(0_{4_1}(x_1)) = x_1
72.98/19.76	   POL(0_{5_1}(x_1)) = 1 + x_1
72.98/19.76	   POL(1_{0_1}(x_1)) = x_1
72.98/19.76	   POL(1_{1_1}(x_1)) = x_1
72.98/19.76	   POL(1_{5_1}(x_1)) = x_1
72.98/19.76	   POL(2_{1_1}(x_1)) = x_1
72.98/19.76	   POL(2_{5_1}(x_1)) = x_1
72.98/19.76	   POL(3_{1_1}(x_1)) = x_1
72.98/19.76	   POL(3_{4_1}(x_1)) = x_1
72.98/19.76	   POL(3_{5_1}(x_1)) = x_1
72.98/19.76	   POL(4_{0_1}(x_1)) = x_1
72.98/19.76	   POL(4_{1_1}(x_1)) = x_1
72.98/19.76	   POL(4_{2_1}(x_1)) = x_1
72.98/19.76	   POL(4_{3_1}(x_1)) = x_1
72.98/19.76	   POL(4_{4_1}(x_1)) = x_1
72.98/19.76	   POL(4_{5_1}(x_1)) = x_1
72.98/19.76	   POL(5_{0_1}(x_1)) = x_1
72.98/19.76	   POL(5_{1_1}(x_1)) = x_1
72.98/19.76	   POL(5_{5_1}(x_1)) = x_1
72.98/19.76	With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:
72.98/19.76	
72.98/19.76	   0_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.76	   0_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.76	   0_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.76	   0_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.76	   0_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.76	   0_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 0_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.76	
72.98/19.76	
72.98/19.76	
72.98/19.76	
72.98/19.76	----------------------------------------
72.98/19.76	
72.98/19.76	(24)
72.98/19.76	Obligation:
72.98/19.76	Q restricted rewrite system:
72.98/19.76	The TRS R consists of the following rules:
72.98/19.76	
72.98/19.76	   4_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.76	   4_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.76	   4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.76	   4_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.76	   4_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.76	   4_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.76	   1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.76	   1_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.76	   1_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.76	   1_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.76	   1_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.76	   1_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.76	   2_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.76	   2_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.76	   2_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.76	   2_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.76	   2_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.76	   2_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.76	   3_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.76	   3_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.76	   3_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.76	   3_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.76	   3_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.76	   3_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.76	   5_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.76	   5_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.76	   5_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.76	   5_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.76	   5_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.76	   5_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.76	
72.98/19.76	Q is empty.
72.98/19.76	
72.98/19.76	----------------------------------------
72.98/19.76	
72.98/19.76	(25) QTRSRRRProof (EQUIVALENT)
72.98/19.76	Used ordering:
72.98/19.76	Polynomial interpretation [POLO]:
72.98/19.76	
72.98/19.76	   POL(0_{3_1}(x_1)) = x_1
72.98/19.76	   POL(0_{4_1}(x_1)) = x_1
72.98/19.76	   POL(1_{0_1}(x_1)) = x_1
72.98/19.76	   POL(1_{1_1}(x_1)) = x_1
72.98/19.76	   POL(1_{5_1}(x_1)) = x_1
72.98/19.76	   POL(2_{1_1}(x_1)) = x_1
72.98/19.76	   POL(2_{5_1}(x_1)) = x_1
72.98/19.76	   POL(3_{1_1}(x_1)) = x_1
72.98/19.76	   POL(3_{4_1}(x_1)) = x_1
72.98/19.76	   POL(3_{5_1}(x_1)) = x_1
72.98/19.76	   POL(4_{0_1}(x_1)) = x_1
72.98/19.76	   POL(4_{1_1}(x_1)) = x_1
72.98/19.76	   POL(4_{2_1}(x_1)) = x_1
72.98/19.76	   POL(4_{3_1}(x_1)) = x_1
72.98/19.76	   POL(4_{4_1}(x_1)) = x_1
72.98/19.76	   POL(4_{5_1}(x_1)) = 1 + x_1
72.98/19.76	   POL(5_{0_1}(x_1)) = x_1
72.98/19.76	   POL(5_{1_1}(x_1)) = x_1
72.98/19.76	   POL(5_{5_1}(x_1)) = x_1
72.98/19.76	With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:
72.98/19.76	
72.98/19.76	   4_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.76	   4_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.76	   4_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.76	   4_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.76	   4_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.76	   4_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 4_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.76	
72.98/19.76	
72.98/19.76	
72.98/19.76	
72.98/19.76	----------------------------------------
72.98/19.76	
72.98/19.76	(26)
72.98/19.76	Obligation:
72.98/19.76	Q restricted rewrite system:
72.98/19.76	The TRS R consists of the following rules:
72.98/19.76	
72.98/19.76	   1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.76	   1_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.76	   1_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.76	   1_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.76	   1_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.76	   1_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.76	   2_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.76	   2_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.76	   2_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.76	   2_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.76	   2_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.76	   2_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.76	   3_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.76	   3_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.76	   3_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.76	   3_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.76	   3_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.76	   3_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.76	   5_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.76	   5_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.76	   5_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.76	   5_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.76	   5_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.76	   5_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.76	
72.98/19.76	Q is empty.
72.98/19.76	
72.98/19.76	----------------------------------------
72.98/19.76	
72.98/19.76	(27) QTRSRRRProof (EQUIVALENT)
72.98/19.76	Used ordering:
72.98/19.76	Polynomial interpretation [POLO]:
72.98/19.76	
72.98/19.76	   POL(0_{3_1}(x_1)) = x_1
72.98/19.76	   POL(0_{4_1}(x_1)) = 2 + x_1
72.98/19.76	   POL(1_{0_1}(x_1)) = x_1
72.98/19.76	   POL(1_{1_1}(x_1)) = x_1
72.98/19.76	   POL(1_{5_1}(x_1)) = x_1
72.98/19.76	   POL(2_{1_1}(x_1)) = 1 + x_1
72.98/19.76	   POL(2_{5_1}(x_1)) = x_1
72.98/19.76	   POL(3_{1_1}(x_1)) = 1 + x_1
72.98/19.76	   POL(3_{4_1}(x_1)) = x_1
72.98/19.76	   POL(3_{5_1}(x_1)) = x_1
72.98/19.76	   POL(4_{0_1}(x_1)) = x_1
72.98/19.76	   POL(4_{1_1}(x_1)) = x_1
72.98/19.76	   POL(4_{2_1}(x_1)) = x_1
72.98/19.76	   POL(4_{3_1}(x_1)) = x_1
72.98/19.76	   POL(4_{4_1}(x_1)) = x_1
72.98/19.76	   POL(4_{5_1}(x_1)) = x_1
72.98/19.76	   POL(5_{0_1}(x_1)) = x_1
72.98/19.76	   POL(5_{1_1}(x_1)) = 1 + x_1
72.98/19.76	   POL(5_{5_1}(x_1)) = x_1
72.98/19.76	With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:
72.98/19.76	
72.98/19.76	   1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.76	   1_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.76	   1_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.76	   1_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.76	   1_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.76	   1_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 1_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.76	
72.98/19.76	
72.98/19.76	
72.98/19.76	
72.98/19.76	----------------------------------------
72.98/19.76	
72.98/19.76	(28)
72.98/19.76	Obligation:
72.98/19.76	Q restricted rewrite system:
72.98/19.76	The TRS R consists of the following rules:
72.98/19.76	
72.98/19.76	   2_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.76	   2_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.76	   2_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.76	   2_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.76	   2_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.76	   2_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.76	   3_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.76	   3_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.76	   3_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.76	   3_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.76	   3_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.76	   3_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.76	   5_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.76	   5_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.76	   5_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.76	   5_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.76	   5_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.76	   5_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.76	
72.98/19.76	Q is empty.
72.98/19.76	
72.98/19.76	----------------------------------------
72.98/19.76	
72.98/19.76	(29) QTRSRRRProof (EQUIVALENT)
72.98/19.76	Used ordering:
72.98/19.76	Polynomial interpretation [POLO]:
72.98/19.76	
72.98/19.76	   POL(0_{3_1}(x_1)) = x_1
72.98/19.76	   POL(0_{4_1}(x_1)) = x_1
72.98/19.76	   POL(1_{0_1}(x_1)) = x_1
72.98/19.76	   POL(1_{5_1}(x_1)) = x_1
72.98/19.76	   POL(2_{1_1}(x_1)) = x_1
72.98/19.76	   POL(2_{5_1}(x_1)) = 1 + x_1
72.98/19.76	   POL(3_{1_1}(x_1)) = x_1
72.98/19.76	   POL(3_{4_1}(x_1)) = x_1
72.98/19.76	   POL(3_{5_1}(x_1)) = x_1
72.98/19.76	   POL(4_{0_1}(x_1)) = x_1
72.98/19.76	   POL(4_{1_1}(x_1)) = x_1
72.98/19.76	   POL(4_{2_1}(x_1)) = x_1
72.98/19.76	   POL(4_{3_1}(x_1)) = x_1
72.98/19.76	   POL(4_{4_1}(x_1)) = x_1
72.98/19.76	   POL(4_{5_1}(x_1)) = x_1
72.98/19.76	   POL(5_{0_1}(x_1)) = x_1
72.98/19.76	   POL(5_{1_1}(x_1)) = x_1
72.98/19.76	   POL(5_{5_1}(x_1)) = x_1
72.98/19.76	With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:
72.98/19.76	
72.98/19.76	   2_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.76	   2_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.76	   2_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.76	   2_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.76	   2_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.76	   2_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 2_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.76	
72.98/19.76	
72.98/19.76	
72.98/19.76	
72.98/19.76	----------------------------------------
72.98/19.76	
72.98/19.76	(30)
72.98/19.76	Obligation:
72.98/19.76	Q restricted rewrite system:
72.98/19.76	The TRS R consists of the following rules:
72.98/19.76	
72.98/19.76	   3_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.76	   3_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.76	   3_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.76	   3_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.76	   3_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.76	   3_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.76	   5_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.76	   5_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.76	   5_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.76	   5_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.76	   5_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.76	   5_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.76	
72.98/19.76	Q is empty.
72.98/19.76	
72.98/19.76	----------------------------------------
72.98/19.76	
72.98/19.76	(31) QTRSRRRProof (EQUIVALENT)
72.98/19.76	Used ordering:
72.98/19.76	Polynomial interpretation [POLO]:
72.98/19.76	
72.98/19.76	   POL(0_{3_1}(x_1)) = x_1
72.98/19.76	   POL(0_{4_1}(x_1)) = x_1
72.98/19.76	   POL(1_{0_1}(x_1)) = x_1
72.98/19.76	   POL(1_{5_1}(x_1)) = x_1
72.98/19.76	   POL(3_{1_1}(x_1)) = x_1
72.98/19.76	   POL(3_{4_1}(x_1)) = x_1
72.98/19.76	   POL(3_{5_1}(x_1)) = 1 + x_1
72.98/19.76	   POL(4_{0_1}(x_1)) = x_1
72.98/19.76	   POL(4_{1_1}(x_1)) = x_1
72.98/19.76	   POL(4_{2_1}(x_1)) = x_1
72.98/19.76	   POL(4_{3_1}(x_1)) = x_1
72.98/19.76	   POL(4_{4_1}(x_1)) = x_1
72.98/19.76	   POL(4_{5_1}(x_1)) = x_1
72.98/19.76	   POL(5_{0_1}(x_1)) = x_1
72.98/19.76	   POL(5_{1_1}(x_1)) = x_1
72.98/19.76	   POL(5_{5_1}(x_1)) = x_1
72.98/19.76	With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:
72.98/19.76	
72.98/19.76	   3_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.76	   3_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.76	   3_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.76	   3_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.76	   3_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.76	   3_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 3_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.76	
72.98/19.76	
72.98/19.76	
72.98/19.76	
72.98/19.76	----------------------------------------
72.98/19.76	
72.98/19.76	(32)
72.98/19.76	Obligation:
72.98/19.76	Q restricted rewrite system:
72.98/19.76	The TRS R consists of the following rules:
72.98/19.76	
72.98/19.76	   5_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.76	   5_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.76	   5_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.76	   5_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.76	   5_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.76	   5_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.76	
72.98/19.76	Q is empty.
72.98/19.76	
72.98/19.76	----------------------------------------
72.98/19.76	
72.98/19.76	(33) QTRSRRRProof (EQUIVALENT)
72.98/19.76	Used ordering:
72.98/19.76	Polynomial interpretation [POLO]:
72.98/19.76	
72.98/19.76	   POL(0_{3_1}(x_1)) = x_1
72.98/19.76	   POL(0_{4_1}(x_1)) = x_1
72.98/19.76	   POL(1_{0_1}(x_1)) = x_1
72.98/19.76	   POL(1_{5_1}(x_1)) = x_1
72.98/19.76	   POL(3_{4_1}(x_1)) = x_1
72.98/19.76	   POL(4_{0_1}(x_1)) = x_1
72.98/19.76	   POL(4_{1_1}(x_1)) = x_1
72.98/19.76	   POL(4_{2_1}(x_1)) = x_1
72.98/19.76	   POL(4_{3_1}(x_1)) = x_1
72.98/19.76	   POL(4_{4_1}(x_1)) = x_1
72.98/19.76	   POL(4_{5_1}(x_1)) = x_1
72.98/19.76	   POL(5_{0_1}(x_1)) = 1 + x_1
72.98/19.76	   POL(5_{1_1}(x_1)) = x_1
72.98/19.76	   POL(5_{5_1}(x_1)) = x_1
72.98/19.76	With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:
72.98/19.76	
72.98/19.76	   5_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(x1)))))))
72.98/19.76	   5_{5_1}(5_{0_1}(0_{4_1}(4_{4_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(x1)))))))
72.98/19.76	   5_{5_1}(5_{0_1}(0_{4_1}(4_{1_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(x1)))))))
72.98/19.76	   5_{5_1}(5_{0_1}(0_{4_1}(4_{2_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(x1)))))))
72.98/19.76	   5_{5_1}(5_{0_1}(0_{4_1}(4_{3_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{3_1}(x1)))))))
72.98/19.76	   5_{5_1}(5_{0_1}(0_{4_1}(4_{5_1}(x1)))) -> 5_{1_1}(1_{5_1}(5_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(x1)))))))
72.98/19.76	
72.98/19.76	
72.98/19.76	
72.98/19.76	
72.98/19.76	----------------------------------------
72.98/19.76	
72.98/19.76	(34)
72.98/19.76	Obligation:
72.98/19.76	Q restricted rewrite system:
72.98/19.76	R is empty.
72.98/19.76	Q is empty.
72.98/19.76	
72.98/19.76	----------------------------------------
72.98/19.76	
72.98/19.76	(35) RisEmptyProof (EQUIVALENT)
72.98/19.76	The TRS R is empty. Hence, termination is trivially proven.
72.98/19.76	----------------------------------------
72.98/19.76	
72.98/19.76	(36)
72.98/19.76	YES
72.98/19.81	EOF