101.18/26.58 YES 103.68/27.22 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 103.68/27.22 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 103.68/27.22 103.68/27.22 103.68/27.22 Termination w.r.t. Q of the given QTRS could be proven: 103.68/27.22 103.68/27.22 (0) QTRS 103.68/27.22 (1) QTRS Reverse [EQUIVALENT, 0 ms] 103.68/27.22 (2) QTRS 103.68/27.22 (3) FlatCCProof [EQUIVALENT, 0 ms] 103.68/27.22 (4) QTRS 103.68/27.22 (5) RootLabelingProof [EQUIVALENT, 0 ms] 103.68/27.22 (6) QTRS 103.68/27.22 (7) QTRSRRRProof [EQUIVALENT, 2907 ms] 103.68/27.22 (8) QTRS 103.68/27.22 (9) QTRSRRRProof [EQUIVALENT, 94 ms] 103.68/27.22 (10) QTRS 103.68/27.22 (11) QTRSRRRProof [EQUIVALENT, 59 ms] 103.68/27.22 (12) QTRS 103.68/27.22 (13) QTRSRRRProof [EQUIVALENT, 72 ms] 103.68/27.22 (14) QTRS 103.68/27.22 (15) QTRSRRRProof [EQUIVALENT, 5 ms] 103.68/27.22 (16) QTRS 103.68/27.22 (17) QTRSRRRProof [EQUIVALENT, 62 ms] 103.68/27.22 (18) QTRS 103.68/27.22 (19) QTRSRRRProof [EQUIVALENT, 45 ms] 103.68/27.22 (20) QTRS 103.68/27.22 (21) QTRSRRRProof [EQUIVALENT, 47 ms] 103.68/27.22 (22) QTRS 103.68/27.22 (23) QTRSRRRProof [EQUIVALENT, 3 ms] 103.68/27.22 (24) QTRS 103.68/27.22 (25) QTRSRRRProof [EQUIVALENT, 3 ms] 103.68/27.22 (26) QTRS 103.68/27.22 (27) QTRSRRRProof [EQUIVALENT, 3 ms] 103.68/27.22 (28) QTRS 103.68/27.22 (29) QTRSRRRProof [EQUIVALENT, 3 ms] 103.68/27.22 (30) QTRS 103.68/27.22 (31) QTRSRRRProof [EQUIVALENT, 13 ms] 103.68/27.22 (32) QTRS 103.68/27.22 (33) QTRSRRRProof [EQUIVALENT, 2 ms] 103.68/27.22 (34) QTRS 103.68/27.22 (35) QTRSRRRProof [EQUIVALENT, 2 ms] 103.68/27.22 (36) QTRS 103.68/27.22 (37) RisEmptyProof [EQUIVALENT, 0 ms] 103.68/27.22 (38) YES 103.68/27.22 103.68/27.22 103.68/27.22 ---------------------------------------- 103.68/27.22 103.68/27.22 (0) 103.68/27.22 Obligation: 103.68/27.22 Q restricted rewrite system: 103.68/27.22 The TRS R consists of the following rules: 103.68/27.22 103.68/27.22 1(3(3(x1))) -> 3(5(3(2(5(0(2(4(5(4(x1)))))))))) 103.68/27.22 0(3(3(3(x1)))) -> 5(4(3(5(3(0(5(4(4(0(x1)))))))))) 103.68/27.22 0(3(3(3(1(x1))))) -> 5(4(4(0(3(1(0(5(1(0(x1)))))))))) 103.68/27.22 1(2(3(3(3(x1))))) -> 4(1(1(2(3(5(0(4(0(5(x1)))))))))) 103.68/27.22 1(4(4(2(2(x1))))) -> 1(1(2(0(1(1(1(0(2(2(x1)))))))))) 103.68/27.22 0(3(3(1(4(3(x1)))))) -> 4(4(3(0(2(3(0(3(0(0(x1)))))))))) 103.68/27.22 3(3(3(3(4(0(x1)))))) -> 3(0(0(2(1(0(5(3(5(4(x1)))))))))) 103.68/27.22 4(0(1(3(4(0(x1)))))) -> 2(2(3(0(0(0(5(0(0(0(x1)))))))))) 103.68/27.22 4(1(4(4(4(1(x1)))))) -> 4(1(0(3(3(5(5(5(4(1(x1)))))))))) 103.68/27.22 0(1(3(5(2(2(3(x1))))))) -> 0(3(0(0(5(0(0(4(4(3(x1)))))))))) 103.68/27.22 0(2(3(1(3(2(5(x1))))))) -> 0(4(3(1(2(3(2(3(2(0(x1)))))))))) 103.68/27.22 1(1(3(3(5(3(1(x1))))))) -> 3(5(0(5(3(2(5(0(0(1(x1)))))))))) 103.68/27.22 3(5(2(0(1(3(3(x1))))))) -> 3(4(3(2(3(2(4(4(5(5(x1)))))))))) 103.68/27.22 4(1(4(2(4(0(1(x1))))))) -> 5(2(2(1(0(5(5(4(5(1(x1)))))))))) 103.68/27.22 4(5(1(2(4(4(4(x1))))))) -> 4(1(1(4(5(3(0(1(0(4(x1)))))))))) 103.68/27.22 5(1(4(5(3(3(3(x1))))))) -> 5(1(4(5(3(4(4(2(3(2(x1)))))))))) 103.68/27.22 103.68/27.22 Q is empty. 103.68/27.22 103.68/27.22 ---------------------------------------- 103.68/27.22 103.68/27.22 (1) QTRS Reverse (EQUIVALENT) 103.68/27.22 We applied the QTRS Reverse Processor [REVERSE]. 103.68/27.22 ---------------------------------------- 103.68/27.22 103.68/27.22 (2) 103.68/27.22 Obligation: 103.68/27.22 Q restricted rewrite system: 103.68/27.22 The TRS R consists of the following rules: 103.68/27.22 103.68/27.22 3(3(1(x1))) -> 4(5(4(2(0(5(2(3(5(3(x1)))))))))) 103.68/27.22 3(3(3(0(x1)))) -> 0(4(4(5(0(3(5(3(4(5(x1)))))))))) 103.68/27.22 1(3(3(3(0(x1))))) -> 0(1(5(0(1(3(0(4(4(5(x1)))))))))) 103.68/27.22 3(3(3(2(1(x1))))) -> 5(0(4(0(5(3(2(1(1(4(x1)))))))))) 103.68/27.22 2(2(4(4(1(x1))))) -> 2(2(0(1(1(1(0(2(1(1(x1)))))))))) 103.68/27.22 3(4(1(3(3(0(x1)))))) -> 0(0(3(0(3(2(0(3(4(4(x1)))))))))) 103.68/27.22 0(4(3(3(3(3(x1)))))) -> 4(5(3(5(0(1(2(0(0(3(x1)))))))))) 103.68/27.22 0(4(3(1(0(4(x1)))))) -> 0(0(0(5(0(0(0(3(2(2(x1)))))))))) 103.68/27.22 1(4(4(4(1(4(x1)))))) -> 1(4(5(5(5(3(3(0(1(4(x1)))))))))) 103.68/27.22 3(2(2(5(3(1(0(x1))))))) -> 3(4(4(0(0(5(0(0(3(0(x1)))))))))) 103.68/27.22 5(2(3(1(3(2(0(x1))))))) -> 0(2(3(2(3(2(1(3(4(0(x1)))))))))) 103.68/27.22 1(3(5(3(3(1(1(x1))))))) -> 1(0(0(5(2(3(5(0(5(3(x1)))))))))) 103.68/27.22 3(3(1(0(2(5(3(x1))))))) -> 5(5(4(4(2(3(2(3(4(3(x1)))))))))) 103.68/27.22 1(0(4(2(4(1(4(x1))))))) -> 1(5(4(5(5(0(1(2(2(5(x1)))))))))) 103.68/27.22 4(4(4(2(1(5(4(x1))))))) -> 4(0(1(0(3(5(4(1(1(4(x1)))))))))) 103.68/27.22 3(3(3(5(4(1(5(x1))))))) -> 2(3(2(4(4(3(5(4(1(5(x1)))))))))) 103.68/27.22 103.68/27.22 Q is empty. 103.68/27.22 103.68/27.22 ---------------------------------------- 103.68/27.22 103.68/27.22 (3) FlatCCProof (EQUIVALENT) 103.68/27.22 We used flat context closure [ROOTLAB] 103.68/27.22 As Q is empty the flat context closure was sound AND complete. 103.68/27.22 103.68/27.22 ---------------------------------------- 103.68/27.22 103.68/27.22 (4) 103.68/27.22 Obligation: 103.68/27.22 Q restricted rewrite system: 103.68/27.22 The TRS R consists of the following rules: 103.68/27.22 103.68/27.22 2(2(4(4(1(x1))))) -> 2(2(0(1(1(1(0(2(1(1(x1)))))))))) 103.68/27.22 0(4(3(1(0(4(x1)))))) -> 0(0(0(5(0(0(0(3(2(2(x1)))))))))) 103.68/27.22 1(4(4(4(1(4(x1)))))) -> 1(4(5(5(5(3(3(0(1(4(x1)))))))))) 103.68/27.22 3(2(2(5(3(1(0(x1))))))) -> 3(4(4(0(0(5(0(0(3(0(x1)))))))))) 103.68/27.22 1(3(5(3(3(1(1(x1))))))) -> 1(0(0(5(2(3(5(0(5(3(x1)))))))))) 103.68/27.22 1(0(4(2(4(1(4(x1))))))) -> 1(5(4(5(5(0(1(2(2(5(x1)))))))))) 103.68/27.22 4(4(4(2(1(5(4(x1))))))) -> 4(0(1(0(3(5(4(1(1(4(x1)))))))))) 103.68/27.22 3(3(3(1(x1)))) -> 3(4(5(4(2(0(5(2(3(5(3(x1))))))))))) 103.68/27.22 1(3(3(1(x1)))) -> 1(4(5(4(2(0(5(2(3(5(3(x1))))))))))) 103.68/27.22 4(3(3(1(x1)))) -> 4(4(5(4(2(0(5(2(3(5(3(x1))))))))))) 103.68/27.22 5(3(3(1(x1)))) -> 5(4(5(4(2(0(5(2(3(5(3(x1))))))))))) 103.68/27.22 2(3(3(1(x1)))) -> 2(4(5(4(2(0(5(2(3(5(3(x1))))))))))) 103.68/27.22 0(3(3(1(x1)))) -> 0(4(5(4(2(0(5(2(3(5(3(x1))))))))))) 103.68/27.22 3(3(3(3(0(x1))))) -> 3(0(4(4(5(0(3(5(3(4(5(x1))))))))))) 103.68/27.22 1(3(3(3(0(x1))))) -> 1(0(4(4(5(0(3(5(3(4(5(x1))))))))))) 103.68/27.22 4(3(3(3(0(x1))))) -> 4(0(4(4(5(0(3(5(3(4(5(x1))))))))))) 103.68/27.22 5(3(3(3(0(x1))))) -> 5(0(4(4(5(0(3(5(3(4(5(x1))))))))))) 103.68/27.22 2(3(3(3(0(x1))))) -> 2(0(4(4(5(0(3(5(3(4(5(x1))))))))))) 103.68/27.22 0(3(3(3(0(x1))))) -> 0(0(4(4(5(0(3(5(3(4(5(x1))))))))))) 103.68/27.22 3(1(3(3(3(0(x1)))))) -> 3(0(1(5(0(1(3(0(4(4(5(x1))))))))))) 103.68/27.22 1(1(3(3(3(0(x1)))))) -> 1(0(1(5(0(1(3(0(4(4(5(x1))))))))))) 103.68/27.22 4(1(3(3(3(0(x1)))))) -> 4(0(1(5(0(1(3(0(4(4(5(x1))))))))))) 103.68/27.22 5(1(3(3(3(0(x1)))))) -> 5(0(1(5(0(1(3(0(4(4(5(x1))))))))))) 103.68/27.22 2(1(3(3(3(0(x1)))))) -> 2(0(1(5(0(1(3(0(4(4(5(x1))))))))))) 103.68/27.22 0(1(3(3(3(0(x1)))))) -> 0(0(1(5(0(1(3(0(4(4(5(x1))))))))))) 103.68/27.22 3(3(3(3(2(1(x1)))))) -> 3(5(0(4(0(5(3(2(1(1(4(x1))))))))))) 103.68/27.22 1(3(3(3(2(1(x1)))))) -> 1(5(0(4(0(5(3(2(1(1(4(x1))))))))))) 103.68/27.22 4(3(3(3(2(1(x1)))))) -> 4(5(0(4(0(5(3(2(1(1(4(x1))))))))))) 103.68/27.22 5(3(3(3(2(1(x1)))))) -> 5(5(0(4(0(5(3(2(1(1(4(x1))))))))))) 103.68/27.22 2(3(3(3(2(1(x1)))))) -> 2(5(0(4(0(5(3(2(1(1(4(x1))))))))))) 103.68/27.22 0(3(3(3(2(1(x1)))))) -> 0(5(0(4(0(5(3(2(1(1(4(x1))))))))))) 103.68/27.22 3(3(4(1(3(3(0(x1))))))) -> 3(0(0(3(0(3(2(0(3(4(4(x1))))))))))) 103.68/27.22 1(3(4(1(3(3(0(x1))))))) -> 1(0(0(3(0(3(2(0(3(4(4(x1))))))))))) 103.68/27.22 4(3(4(1(3(3(0(x1))))))) -> 4(0(0(3(0(3(2(0(3(4(4(x1))))))))))) 103.68/27.22 5(3(4(1(3(3(0(x1))))))) -> 5(0(0(3(0(3(2(0(3(4(4(x1))))))))))) 103.68/27.22 2(3(4(1(3(3(0(x1))))))) -> 2(0(0(3(0(3(2(0(3(4(4(x1))))))))))) 103.68/27.22 0(3(4(1(3(3(0(x1))))))) -> 0(0(0(3(0(3(2(0(3(4(4(x1))))))))))) 103.68/27.22 3(0(4(3(3(3(3(x1))))))) -> 3(4(5(3(5(0(1(2(0(0(3(x1))))))))))) 103.68/27.22 1(0(4(3(3(3(3(x1))))))) -> 1(4(5(3(5(0(1(2(0(0(3(x1))))))))))) 103.68/27.22 4(0(4(3(3(3(3(x1))))))) -> 4(4(5(3(5(0(1(2(0(0(3(x1))))))))))) 103.68/27.22 5(0(4(3(3(3(3(x1))))))) -> 5(4(5(3(5(0(1(2(0(0(3(x1))))))))))) 103.68/27.22 2(0(4(3(3(3(3(x1))))))) -> 2(4(5(3(5(0(1(2(0(0(3(x1))))))))))) 103.68/27.22 0(0(4(3(3(3(3(x1))))))) -> 0(4(5(3(5(0(1(2(0(0(3(x1))))))))))) 103.68/27.22 3(5(2(3(1(3(2(0(x1)))))))) -> 3(0(2(3(2(3(2(1(3(4(0(x1))))))))))) 103.68/27.22 1(5(2(3(1(3(2(0(x1)))))))) -> 1(0(2(3(2(3(2(1(3(4(0(x1))))))))))) 103.68/27.22 4(5(2(3(1(3(2(0(x1)))))))) -> 4(0(2(3(2(3(2(1(3(4(0(x1))))))))))) 103.68/27.22 5(5(2(3(1(3(2(0(x1)))))))) -> 5(0(2(3(2(3(2(1(3(4(0(x1))))))))))) 103.68/27.22 2(5(2(3(1(3(2(0(x1)))))))) -> 2(0(2(3(2(3(2(1(3(4(0(x1))))))))))) 103.68/27.22 0(5(2(3(1(3(2(0(x1)))))))) -> 0(0(2(3(2(3(2(1(3(4(0(x1))))))))))) 103.68/27.22 3(3(3(1(0(2(5(3(x1)))))))) -> 3(5(5(4(4(2(3(2(3(4(3(x1))))))))))) 103.68/27.22 1(3(3(1(0(2(5(3(x1)))))))) -> 1(5(5(4(4(2(3(2(3(4(3(x1))))))))))) 103.68/27.22 4(3(3(1(0(2(5(3(x1)))))))) -> 4(5(5(4(4(2(3(2(3(4(3(x1))))))))))) 103.68/27.22 5(3(3(1(0(2(5(3(x1)))))))) -> 5(5(5(4(4(2(3(2(3(4(3(x1))))))))))) 103.68/27.22 2(3(3(1(0(2(5(3(x1)))))))) -> 2(5(5(4(4(2(3(2(3(4(3(x1))))))))))) 103.68/27.22 0(3(3(1(0(2(5(3(x1)))))))) -> 0(5(5(4(4(2(3(2(3(4(3(x1))))))))))) 103.68/27.22 3(3(3(3(5(4(1(5(x1)))))))) -> 3(2(3(2(4(4(3(5(4(1(5(x1))))))))))) 103.68/27.22 1(3(3(3(5(4(1(5(x1)))))))) -> 1(2(3(2(4(4(3(5(4(1(5(x1))))))))))) 103.68/27.22 4(3(3(3(5(4(1(5(x1)))))))) -> 4(2(3(2(4(4(3(5(4(1(5(x1))))))))))) 103.68/27.22 5(3(3(3(5(4(1(5(x1)))))))) -> 5(2(3(2(4(4(3(5(4(1(5(x1))))))))))) 103.68/27.22 2(3(3(3(5(4(1(5(x1)))))))) -> 2(2(3(2(4(4(3(5(4(1(5(x1))))))))))) 103.68/27.22 0(3(3(3(5(4(1(5(x1)))))))) -> 0(2(3(2(4(4(3(5(4(1(5(x1))))))))))) 103.68/27.22 103.68/27.22 Q is empty. 103.68/27.22 103.68/27.22 ---------------------------------------- 103.68/27.22 103.68/27.22 (5) RootLabelingProof (EQUIVALENT) 103.68/27.22 We used plain root labeling [ROOTLAB] with the following heuristic: 103.68/27.22 LabelAll: All function symbols get labeled 103.68/27.22 103.68/27.22 As Q is empty the root labeling was sound AND complete. 103.68/27.22 103.68/27.22 ---------------------------------------- 103.68/27.22 103.68/27.22 (6) 103.68/27.22 Obligation: 103.68/27.22 Q restricted rewrite system: 103.68/27.22 The TRS R consists of the following rules: 103.68/27.22 103.68/27.22 2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(1_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1)))))))))) 103.68/27.22 2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(1_{4_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(x1)))))))))) 103.68/27.22 2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(1_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1)))))))))) 103.68/27.22 2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(1_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1)))))))))) 103.68/27.22 2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(1_{3_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{3_1}(x1)))))))))) 103.68/27.22 2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{5_1}(x1)))))))))) 103.68/27.22 0_{4_1}(4_{3_1}(3_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(x1)))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(x1)))))))))) 103.68/27.22 0_{4_1}(4_{3_1}(3_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(x1)))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(2_{2_1}(2_{4_1}(x1)))))))))) 103.68/27.22 0_{4_1}(4_{3_1}(3_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(x1)))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(2_{2_1}(2_{1_1}(x1)))))))))) 103.68/27.22 0_{4_1}(4_{3_1}(3_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(x1)))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(x1)))))))))) 103.68/27.22 0_{4_1}(4_{3_1}(3_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(x1)))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(x1)))))))))) 103.68/27.22 0_{4_1}(4_{3_1}(3_{1_1}(1_{0_1}(0_{4_1}(4_{5_1}(x1)))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(x1)))))))))) 103.68/27.22 1_{4_1}(4_{4_1}(4_{4_1}(4_{1_1}(1_{4_1}(4_{2_1}(x1)))))) -> 1_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{2_1}(x1)))))))))) 103.68/27.22 1_{4_1}(4_{4_1}(4_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(x1)))))) -> 1_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(x1)))))))))) 103.68/27.22 1_{4_1}(4_{4_1}(4_{4_1}(4_{1_1}(1_{4_1}(4_{1_1}(x1)))))) -> 1_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(x1)))))))))) 103.68/27.22 1_{4_1}(4_{4_1}(4_{4_1}(4_{1_1}(1_{4_1}(4_{0_1}(x1)))))) -> 1_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(x1)))))))))) 103.68/27.22 1_{4_1}(4_{4_1}(4_{4_1}(4_{1_1}(1_{4_1}(4_{3_1}(x1)))))) -> 1_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(x1)))))))))) 103.68/27.22 1_{4_1}(4_{4_1}(4_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(x1)))))) -> 1_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{5_1}(x1)))))))))) 103.68/27.22 3_{2_1}(2_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(x1))))))) -> 3_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(x1)))))))))) 103.68/27.22 3_{2_1}(2_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(1_{0_1}(0_{4_1}(x1))))))) -> 3_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{4_1}(x1)))))))))) 103.68/27.22 3_{2_1}(2_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(1_{0_1}(0_{1_1}(x1))))))) -> 3_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{1_1}(x1)))))))))) 103.68/27.22 3_{2_1}(2_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(1_{0_1}(0_{0_1}(x1))))))) -> 3_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(x1)))))))))) 103.68/27.22 3_{2_1}(2_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(x1))))))) -> 3_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(x1)))))))))) 103.68/27.22 3_{2_1}(2_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(1_{0_1}(0_{5_1}(x1))))))) -> 3_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{5_1}(x1)))))))))) 103.68/27.22 1_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{1_1}(1_{2_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(x1)))))))))) 103.68/27.22 1_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{1_1}(1_{4_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(x1)))))))))) 103.68/27.22 1_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{1_1}(1_{1_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{1_1}(x1)))))))))) 103.68/27.22 1_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{1_1}(1_{0_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{0_1}(x1)))))))))) 103.68/27.22 1_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{1_1}(1_{3_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(x1)))))))))) 103.68/27.22 1_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{5_1}(x1)))))))))) 103.68/27.22 1_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{1_1}(1_{4_1}(4_{2_1}(x1))))))) -> 1_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(x1)))))))))) 103.68/27.22 1_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(x1))))))) -> 1_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(x1)))))))))) 103.68/27.22 1_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{1_1}(1_{4_1}(4_{1_1}(x1))))))) -> 1_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{1_1}(x1)))))))))) 103.68/27.22 1_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{1_1}(1_{4_1}(4_{0_1}(x1))))))) -> 1_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{0_1}(x1)))))))))) 103.68/27.22 1_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{1_1}(1_{4_1}(4_{3_1}(x1))))))) -> 1_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{3_1}(x1)))))))))) 103.68/27.22 1_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(x1))))))) -> 1_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(x1)))))))))) 103.68/27.22 4_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(x1))))))) -> 4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(x1)))))))))) 103.68/27.22 4_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{4_1}(x1))))))) -> 4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{4_1}(x1)))))))))) 103.68/27.22 4_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(x1))))))) -> 4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(x1)))))))))) 103.68/27.22 4_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(x1))))))) -> 4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(x1)))))))))) 103.68/27.22 4_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(x1))))))) -> 4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(x1)))))))))) 103.68/27.22 4_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{5_1}(x1))))))) -> 4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{5_1}(x1)))))))))) 103.68/27.22 3_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(x1)))) -> 3_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(x1))))))))))) 103.68/27.22 3_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(x1)))) -> 3_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(x1))))))))))) 103.68/27.22 3_{3_1}(3_{3_1}(3_{1_1}(1_{1_1}(x1)))) -> 3_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{1_1}(x1))))))))))) 103.68/27.22 3_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(x1)))) -> 3_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{0_1}(x1))))))))))) 103.68/27.22 3_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(x1)))) -> 3_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(x1))))))))))) 103.68/27.22 3_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(x1)))) -> 3_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{5_1}(x1))))))))))) 103.68/27.22 1_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(x1)))) -> 1_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(x1))))))))))) 103.68/27.22 1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(x1)))) -> 1_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(x1))))))))))) 103.68/27.22 1_{3_1}(3_{3_1}(3_{1_1}(1_{1_1}(x1)))) -> 1_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{1_1}(x1))))))))))) 103.68/27.22 1_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(x1)))) -> 1_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{0_1}(x1))))))))))) 103.68/27.22 1_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(x1)))) -> 1_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(x1))))))))))) 103.68/27.22 1_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(x1)))) -> 1_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{5_1}(x1))))))))))) 103.68/27.22 4_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(x1)))) -> 4_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(x1))))))))))) 103.68/27.22 4_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(x1)))) -> 4_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(x1))))))))))) 103.68/27.22 4_{3_1}(3_{3_1}(3_{1_1}(1_{1_1}(x1)))) -> 4_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{1_1}(x1))))))))))) 103.68/27.22 4_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(x1)))) -> 4_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{0_1}(x1))))))))))) 103.68/27.22 4_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(x1)))) -> 4_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(x1))))))))))) 103.68/27.22 4_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(x1)))) -> 4_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{5_1}(x1))))))))))) 103.68/27.22 5_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(x1)))) -> 5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(x1))))))))))) 103.68/27.22 5_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(x1)))) -> 5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(x1))))))))))) 103.68/27.22 5_{3_1}(3_{3_1}(3_{1_1}(1_{1_1}(x1)))) -> 5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{1_1}(x1))))))))))) 103.68/27.22 5_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(x1)))) -> 5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{0_1}(x1))))))))))) 103.68/27.22 5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(x1)))) -> 5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(x1))))))))))) 103.68/27.22 5_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(x1)))) -> 5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{5_1}(x1))))))))))) 103.68/27.22 2_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(x1)))) -> 2_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(x1))))))))))) 103.68/27.22 2_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(x1)))) -> 2_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(x1))))))))))) 103.68/27.22 2_{3_1}(3_{3_1}(3_{1_1}(1_{1_1}(x1)))) -> 2_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{1_1}(x1))))))))))) 103.68/27.22 2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(x1)))) -> 2_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{0_1}(x1))))))))))) 103.68/27.22 2_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(x1)))) -> 2_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(x1))))))))))) 103.68/27.22 2_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(x1)))) -> 2_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{5_1}(x1))))))))))) 103.68/27.22 0_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(x1))))))))))) 103.68/27.22 0_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(x1))))))))))) 103.68/27.22 0_{3_1}(3_{3_1}(3_{1_1}(1_{1_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{1_1}(x1))))))))))) 103.68/27.22 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{0_1}(x1))))))))))) 103.68/27.22 0_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(x1))))))))))) 103.68/27.22 0_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{5_1}(x1))))))))))) 103.68/27.22 3_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(x1))))))))))) 103.68/27.22 3_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(x1))))))))))) 103.68/27.22 3_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{1_1}(x1))))))))))) 103.68/27.22 3_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(x1))))))))))) 103.68/27.22 3_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(x1))))))))))) 103.68/27.22 3_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{5_1}(x1))))))))))) 103.68/27.22 1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 1_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(x1))))))))))) 103.68/27.22 1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 1_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(x1))))))))))) 103.68/27.22 1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 1_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{1_1}(x1))))))))))) 103.68/27.22 1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 1_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(x1))))))))))) 103.68/27.22 1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 1_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(x1))))))))))) 103.68/27.22 1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 1_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{5_1}(x1))))))))))) 103.68/27.22 4_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 4_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(x1))))))))))) 103.68/27.22 4_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 4_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(x1))))))))))) 103.68/27.22 4_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 4_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{1_1}(x1))))))))))) 103.68/27.22 4_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 4_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(x1))))))))))) 103.68/27.22 4_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 4_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(x1))))))))))) 103.68/27.22 4_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 4_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{5_1}(x1))))))))))) 103.68/27.22 5_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 5_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(x1))))))))))) 103.68/27.22 5_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 5_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(x1))))))))))) 103.68/27.22 5_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 5_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{1_1}(x1))))))))))) 103.68/27.22 5_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 5_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(x1))))))))))) 103.68/27.22 5_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 5_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(x1))))))))))) 103.68/27.22 5_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 5_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{5_1}(x1))))))))))) 103.68/27.22 2_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 2_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(x1))))))))))) 103.68/27.22 2_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 2_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(x1))))))))))) 103.68/27.22 2_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 2_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{1_1}(x1))))))))))) 103.68/27.22 2_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 2_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(x1))))))))))) 103.68/27.22 2_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 2_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(x1))))))))))) 103.68/27.23 2_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 2_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{5_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{1_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{5_1}(x1))))))))))) 103.68/27.23 3_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{2_1}(x1)))))) -> 3_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(x1))))))))))) 103.68/27.23 3_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(x1)))))) -> 3_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{4_1}(x1))))))))))) 103.68/27.23 3_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{1_1}(x1)))))) -> 3_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(x1))))))))))) 103.68/27.23 3_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(x1)))))) -> 3_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(x1))))))))))) 103.68/27.23 3_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{3_1}(x1)))))) -> 3_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(x1))))))))))) 103.68/27.23 3_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{5_1}(x1)))))) -> 3_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{5_1}(x1))))))))))) 103.68/27.23 1_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{2_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(x1))))))))))) 103.68/27.23 1_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{4_1}(x1))))))))))) 103.68/27.23 1_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{1_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(x1))))))))))) 103.68/27.23 1_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(x1))))))))))) 103.68/27.23 1_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{3_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(x1))))))))))) 103.68/27.23 1_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{5_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{5_1}(x1))))))))))) 103.68/27.23 4_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{2_1}(x1)))))) -> 4_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(x1))))))))))) 103.68/27.23 4_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(x1)))))) -> 4_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{4_1}(x1))))))))))) 103.68/27.23 4_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{1_1}(x1)))))) -> 4_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(x1))))))))))) 103.68/27.23 4_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(x1)))))) -> 4_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(x1))))))))))) 103.68/27.23 4_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{3_1}(x1)))))) -> 4_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(x1))))))))))) 103.68/27.23 4_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{5_1}(x1)))))) -> 4_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{5_1}(x1))))))))))) 103.68/27.23 5_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{2_1}(x1)))))) -> 5_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(x1))))))))))) 103.68/27.23 5_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(x1)))))) -> 5_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{4_1}(x1))))))))))) 103.68/27.23 5_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{1_1}(x1)))))) -> 5_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(x1))))))))))) 103.68/27.23 5_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(x1)))))) -> 5_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(x1))))))))))) 103.68/27.23 5_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{3_1}(x1)))))) -> 5_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(x1))))))))))) 103.68/27.23 5_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{5_1}(x1)))))) -> 5_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{5_1}(x1))))))))))) 103.68/27.23 2_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{2_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(x1))))))))))) 103.68/27.23 2_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{4_1}(x1))))))))))) 103.68/27.23 2_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{1_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(x1))))))))))) 103.68/27.23 2_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(x1))))))))))) 103.68/27.23 2_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{3_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(x1))))))))))) 103.68/27.23 2_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{5_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{5_1}(x1))))))))))) 103.68/27.23 0_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{2_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(x1))))))))))) 103.68/27.23 0_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{4_1}(x1))))))))))) 103.68/27.23 0_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{1_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(x1))))))))))) 103.68/27.23 0_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(x1))))))))))) 103.68/27.23 0_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{3_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(x1))))))))))) 103.68/27.23 0_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{5_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{5_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(x1)))))) -> 3_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(x1)))))) -> 3_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{4_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(x1)))))) -> 3_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(x1)))))) -> 3_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(x1)))))) -> 3_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(x1)))))) -> 3_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{5_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(x1)))))) -> 1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(x1)))))) -> 1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{4_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(x1)))))) -> 1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(x1)))))) -> 1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(x1)))))) -> 1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(x1)))))) -> 1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{5_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(x1)))))) -> 4_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(x1)))))) -> 4_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{4_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(x1)))))) -> 4_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(x1)))))) -> 4_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(x1)))))) -> 4_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(x1)))))) -> 4_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{5_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(x1)))))) -> 5_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(x1)))))) -> 5_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{4_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(x1)))))) -> 5_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(x1)))))) -> 5_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(x1)))))) -> 5_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(x1)))))) -> 5_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{5_1}(x1))))))))))) 103.68/27.23 2_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(x1)))))) -> 2_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(x1))))))))))) 103.68/27.23 2_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(x1)))))) -> 2_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{4_1}(x1))))))))))) 103.68/27.23 2_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(x1)))))) -> 2_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(x1))))))))))) 103.68/27.23 2_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(x1)))))) -> 2_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(x1))))))))))) 103.68/27.23 2_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(x1)))))) -> 2_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(x1))))))))))) 103.68/27.23 2_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(x1)))))) -> 2_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{5_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(x1)))))) -> 0_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(x1)))))) -> 0_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{4_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(x1)))))) -> 0_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(x1)))))) -> 0_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(x1)))))) -> 0_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(x1)))))) -> 0_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{5_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 3_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 3_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 3_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 3_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 3_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 3_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 4_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 4_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 4_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 4_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 4_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 4_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 5_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 5_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 5_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 5_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 5_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 5_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))) 103.68/27.23 2_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))) 103.68/27.23 2_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))) 103.68/27.23 2_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))) 103.68/27.23 2_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))) 103.68/27.23 2_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))) 103.68/27.23 2_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 0_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 0_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 0_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 0_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 0_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 0_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))) 103.68/27.23 3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(x1))))))))))) 103.68/27.23 3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{4_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(x1))))))))))) 103.68/27.23 3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{1_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{1_1}(x1))))))))))) 103.68/27.23 3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(x1))))))))))) 103.68/27.23 3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(x1))))))))))) 103.68/27.23 3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{5_1}(x1))))))))))) 103.68/27.23 1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(x1))))))) -> 1_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(x1))))))))))) 103.68/27.23 1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{4_1}(x1))))))) -> 1_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(x1))))))))))) 103.68/27.23 1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{1_1}(x1))))))) -> 1_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{1_1}(x1))))))))))) 103.68/27.23 1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(x1))))))) -> 1_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(x1))))))))))) 103.68/27.23 1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(x1))))))) -> 1_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(x1))))))))))) 103.68/27.23 1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(x1))))))) -> 1_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{5_1}(x1))))))))))) 103.68/27.23 4_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(x1))))))))))) 103.68/27.23 4_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{4_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(x1))))))))))) 103.68/27.23 4_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{1_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{1_1}(x1))))))))))) 103.68/27.23 4_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(x1))))))))))) 103.68/27.23 4_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(x1))))))))))) 103.68/27.23 4_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{5_1}(x1))))))))))) 103.68/27.23 5_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(x1))))))))))) 103.68/27.23 5_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{4_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(x1))))))))))) 103.68/27.23 5_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{1_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{1_1}(x1))))))))))) 103.68/27.23 5_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(x1))))))))))) 103.68/27.23 5_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(x1))))))))))) 103.68/27.23 5_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{5_1}(x1))))))))))) 103.68/27.23 2_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(x1))))))))))) 103.68/27.23 2_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{4_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(x1))))))))))) 103.68/27.23 2_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{1_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{1_1}(x1))))))))))) 103.68/27.23 2_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(x1))))))))))) 103.68/27.23 2_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(x1))))))))))) 103.68/27.23 2_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{5_1}(x1))))))))))) 103.68/27.23 0_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(x1))))))))))) 103.68/27.23 0_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{4_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(x1))))))))))) 103.68/27.23 0_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{1_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{1_1}(x1))))))))))) 103.68/27.23 0_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(x1))))))))))) 103.68/27.23 0_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(x1))))))))))) 103.68/27.23 0_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{5_1}(x1))))))))))) 103.68/27.23 3_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))))) -> 3_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(x1))))))))))) 103.68/27.23 3_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(x1)))))))) -> 3_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(x1))))))))))) 103.68/27.23 3_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(x1)))))))) -> 3_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{1_1}(x1))))))))))) 103.68/27.23 3_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))))) -> 3_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(x1))))))))))) 103.68/27.23 3_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(x1)))))))) -> 3_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(x1))))))))))) 103.68/27.23 3_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))))) -> 3_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{5_1}(x1))))))))))) 103.68/27.23 1_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))))) -> 1_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(x1))))))))))) 103.68/27.23 1_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(x1)))))))) -> 1_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(x1))))))))))) 103.68/27.23 1_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(x1)))))))) -> 1_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{1_1}(x1))))))))))) 103.68/27.23 1_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))))) -> 1_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(x1))))))))))) 103.68/27.23 1_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(x1)))))))) -> 1_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(x1))))))))))) 103.68/27.23 1_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))))) -> 1_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{5_1}(x1))))))))))) 103.68/27.23 4_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))))) -> 4_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(x1))))))))))) 103.68/27.23 4_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(x1)))))))) -> 4_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(x1))))))))))) 103.68/27.23 4_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(x1)))))))) -> 4_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{1_1}(x1))))))))))) 103.68/27.23 4_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))))) -> 4_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(x1))))))))))) 103.68/27.23 4_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(x1)))))))) -> 4_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(x1))))))))))) 103.68/27.23 4_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))))) -> 4_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{5_1}(x1))))))))))) 103.68/27.23 5_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))))) -> 5_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(x1))))))))))) 103.68/27.23 5_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(x1)))))))) -> 5_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(x1))))))))))) 103.68/27.23 5_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(x1)))))))) -> 5_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{1_1}(x1))))))))))) 103.68/27.23 5_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))))) -> 5_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(x1))))))))))) 103.68/27.23 5_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(x1)))))))) -> 5_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(x1))))))))))) 103.68/27.23 5_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))))) -> 5_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{5_1}(x1))))))))))) 103.68/27.23 2_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))))) -> 2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(x1))))))))))) 103.68/27.23 2_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(x1)))))))) -> 2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(x1))))))))))) 103.68/27.23 2_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(x1)))))))) -> 2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{1_1}(x1))))))))))) 103.68/27.23 2_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))))) -> 2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(x1))))))))))) 103.68/27.23 2_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(x1)))))))) -> 2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(x1))))))))))) 103.68/27.23 2_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))))) -> 2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{5_1}(x1))))))))))) 103.68/27.23 0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))))) -> 0_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(x1))))))))))) 103.68/27.23 0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(x1)))))))) -> 0_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(x1))))))))))) 103.68/27.23 0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(x1)))))))) -> 0_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{1_1}(x1))))))))))) 103.68/27.23 0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))))) -> 0_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(x1))))))))))) 103.68/27.23 0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(x1)))))))) -> 0_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(x1))))))))))) 103.68/27.23 0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))))) -> 0_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{5_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(x1)))))))) -> 3_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(x1)))))))) -> 3_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(x1)))))))) -> 3_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{0_1}(x1)))))))) -> 3_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{3_1}(x1)))))))) -> 3_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{5_1}(x1)))))))) -> 3_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(x1)))))))) -> 1_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(x1)))))))) -> 1_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(x1)))))))) -> 1_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{0_1}(x1)))))))) -> 1_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{3_1}(x1)))))))) -> 1_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{5_1}(x1)))))))) -> 1_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(x1)))))))) -> 4_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(x1)))))))) -> 4_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(x1)))))))) -> 4_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{0_1}(x1)))))))) -> 4_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{3_1}(x1)))))))) -> 4_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{5_1}(x1)))))))) -> 4_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{0_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{3_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{5_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))))) 103.68/27.23 2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))))) 103.68/27.23 2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))))) 103.68/27.23 2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))))) 103.68/27.23 2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{0_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))))) 103.68/27.23 2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{3_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))))) 103.68/27.23 2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{5_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{0_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{3_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{5_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.68/27.23 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.68/27.23 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.68/27.23 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.68/27.23 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.68/27.23 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.68/27.23 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.68/27.23 103.68/27.23 Q is empty. 103.68/27.23 103.68/27.23 ---------------------------------------- 103.68/27.23 103.68/27.23 (7) QTRSRRRProof (EQUIVALENT) 103.68/27.23 Used ordering: 103.68/27.23 Polynomial interpretation [POLO]: 103.68/27.23 103.68/27.23 POL(0_{0_1}(x_1)) = x_1 103.68/27.23 POL(0_{1_1}(x_1)) = 6 + x_1 103.68/27.23 POL(0_{2_1}(x_1)) = x_1 103.68/27.23 POL(0_{3_1}(x_1)) = x_1 103.68/27.23 POL(0_{4_1}(x_1)) = x_1 103.68/27.23 POL(0_{5_1}(x_1)) = x_1 103.68/27.23 POL(1_{0_1}(x_1)) = 6 + x_1 103.68/27.23 POL(1_{1_1}(x_1)) = 5 + x_1 103.68/27.23 POL(1_{2_1}(x_1)) = 82 + x_1 103.68/27.23 POL(1_{3_1}(x_1)) = 82 + x_1 103.68/27.23 POL(1_{4_1}(x_1)) = 99 + x_1 103.68/27.23 POL(1_{5_1}(x_1)) = 82 + x_1 103.68/27.23 POL(2_{0_1}(x_1)) = x_1 103.68/27.23 POL(2_{1_1}(x_1)) = x_1 103.68/27.23 POL(2_{2_1}(x_1)) = x_1 103.68/27.23 POL(2_{3_1}(x_1)) = x_1 103.68/27.23 POL(2_{4_1}(x_1)) = 1 + x_1 103.68/27.23 POL(2_{5_1}(x_1)) = x_1 103.68/27.23 POL(3_{0_1}(x_1)) = x_1 103.68/27.23 POL(3_{1_1}(x_1)) = 147 + x_1 103.68/27.23 POL(3_{2_1}(x_1)) = 96 + x_1 103.68/27.23 POL(3_{3_1}(x_1)) = 96 + x_1 103.68/27.23 POL(3_{4_1}(x_1)) = 17 + x_1 103.68/27.23 POL(3_{5_1}(x_1)) = 1 + x_1 103.68/27.23 POL(4_{0_1}(x_1)) = 35 + x_1 103.68/27.23 POL(4_{1_1}(x_1)) = 34 + x_1 103.68/27.23 POL(4_{2_1}(x_1)) = 39 + x_1 103.68/27.23 POL(4_{3_1}(x_1)) = 39 + x_1 103.68/27.23 POL(4_{4_1}(x_1)) = 56 + x_1 103.68/27.23 POL(4_{5_1}(x_1)) = 39 + x_1 103.68/27.23 POL(5_{0_1}(x_1)) = x_1 103.68/27.23 POL(5_{1_1}(x_1)) = x_1 103.68/27.23 POL(5_{2_1}(x_1)) = 1 + x_1 103.68/27.23 POL(5_{3_1}(x_1)) = 1 + x_1 103.68/27.23 POL(5_{4_1}(x_1)) = 2 + x_1 103.68/27.23 POL(5_{5_1}(x_1)) = 1 + x_1 103.68/27.23 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 103.68/27.23 103.68/27.23 2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(1_{2_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1)))))))))) 103.68/27.23 2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(1_{4_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(x1)))))))))) 103.68/27.23 2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(1_{1_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1)))))))))) 103.68/27.23 2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(1_{0_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1)))))))))) 103.68/27.23 2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(1_{3_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{3_1}(x1)))))))))) 103.68/27.23 2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(x1))))) -> 2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{5_1}(x1)))))))))) 103.68/27.23 0_{4_1}(4_{3_1}(3_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(x1)))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(x1)))))))))) 103.68/27.23 0_{4_1}(4_{3_1}(3_{1_1}(1_{0_1}(0_{4_1}(4_{4_1}(x1)))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(2_{2_1}(2_{4_1}(x1)))))))))) 103.68/27.23 0_{4_1}(4_{3_1}(3_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(x1)))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(2_{2_1}(2_{1_1}(x1)))))))))) 103.68/27.23 0_{4_1}(4_{3_1}(3_{1_1}(1_{0_1}(0_{4_1}(4_{0_1}(x1)))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(x1)))))))))) 103.68/27.23 0_{4_1}(4_{3_1}(3_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(x1)))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(x1)))))))))) 103.68/27.23 0_{4_1}(4_{3_1}(3_{1_1}(1_{0_1}(0_{4_1}(4_{5_1}(x1)))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(x1)))))))))) 103.68/27.23 1_{4_1}(4_{4_1}(4_{4_1}(4_{1_1}(1_{4_1}(4_{2_1}(x1)))))) -> 1_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{2_1}(x1)))))))))) 103.68/27.23 1_{4_1}(4_{4_1}(4_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(x1)))))) -> 1_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(x1)))))))))) 103.68/27.23 1_{4_1}(4_{4_1}(4_{4_1}(4_{1_1}(1_{4_1}(4_{1_1}(x1)))))) -> 1_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{1_1}(x1)))))))))) 103.68/27.23 1_{4_1}(4_{4_1}(4_{4_1}(4_{1_1}(1_{4_1}(4_{0_1}(x1)))))) -> 1_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{0_1}(x1)))))))))) 103.68/27.23 1_{4_1}(4_{4_1}(4_{4_1}(4_{1_1}(1_{4_1}(4_{3_1}(x1)))))) -> 1_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{3_1}(x1)))))))))) 103.68/27.23 1_{4_1}(4_{4_1}(4_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(x1)))))) -> 1_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(5_{3_1}(3_{3_1}(3_{0_1}(0_{1_1}(1_{4_1}(4_{5_1}(x1)))))))))) 103.68/27.23 3_{2_1}(2_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(x1))))))) -> 3_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{2_1}(x1)))))))))) 103.68/27.23 3_{2_1}(2_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(1_{0_1}(0_{4_1}(x1))))))) -> 3_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{4_1}(x1)))))))))) 103.68/27.23 3_{2_1}(2_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(1_{0_1}(0_{1_1}(x1))))))) -> 3_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{1_1}(x1)))))))))) 103.68/27.23 3_{2_1}(2_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(1_{0_1}(0_{0_1}(x1))))))) -> 3_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{0_1}(x1)))))))))) 103.68/27.23 3_{2_1}(2_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(1_{0_1}(0_{3_1}(x1))))))) -> 3_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(x1)))))))))) 103.68/27.23 3_{2_1}(2_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(1_{0_1}(0_{5_1}(x1))))))) -> 3_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(5_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{5_1}(x1)))))))))) 103.68/27.23 1_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{1_1}(1_{2_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(x1)))))))))) 103.68/27.23 1_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{1_1}(1_{4_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{4_1}(x1)))))))))) 103.68/27.23 1_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{1_1}(1_{1_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{1_1}(x1)))))))))) 103.68/27.23 1_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{1_1}(1_{0_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{0_1}(x1)))))))))) 103.68/27.23 1_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{1_1}(1_{3_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(x1)))))))))) 103.68/27.23 1_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(3_{1_1}(1_{1_1}(1_{5_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{5_1}(x1)))))))))) 103.68/27.23 1_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{1_1}(1_{4_1}(4_{2_1}(x1))))))) -> 1_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{2_1}(x1)))))))))) 103.68/27.23 1_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{1_1}(1_{4_1}(4_{4_1}(x1))))))) -> 1_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(x1)))))))))) 103.68/27.23 1_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{1_1}(1_{4_1}(4_{1_1}(x1))))))) -> 1_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{1_1}(x1)))))))))) 103.68/27.23 1_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{1_1}(1_{4_1}(4_{0_1}(x1))))))) -> 1_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{0_1}(x1)))))))))) 103.68/27.23 1_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{1_1}(1_{4_1}(4_{3_1}(x1))))))) -> 1_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{3_1}(x1)))))))))) 103.68/27.23 1_{0_1}(0_{4_1}(4_{2_1}(2_{4_1}(4_{1_1}(1_{4_1}(4_{5_1}(x1))))))) -> 1_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{5_1}(5_{5_1}(x1)))))))))) 103.68/27.23 4_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(x1))))))) -> 4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(x1)))))))))) 103.68/27.23 4_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{4_1}(x1))))))) -> 4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{4_1}(x1)))))))))) 103.68/27.23 4_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{1_1}(x1))))))) -> 4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(x1)))))))))) 103.68/27.23 4_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{0_1}(x1))))))) -> 4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(x1)))))))))) 103.68/27.23 4_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{3_1}(x1))))))) -> 4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(x1)))))))))) 103.68/27.23 4_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(5_{4_1}(4_{5_1}(x1))))))) -> 4_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{5_1}(x1)))))))))) 103.68/27.23 3_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(x1)))) -> 3_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(x1)))) -> 3_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{3_1}(3_{1_1}(1_{1_1}(x1)))) -> 3_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{1_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(x1)))) -> 3_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{0_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(x1)))) -> 3_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(x1)))) -> 3_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{5_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(x1)))) -> 1_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(x1)))) -> 1_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{3_1}(3_{1_1}(1_{1_1}(x1)))) -> 1_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{1_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(x1)))) -> 1_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{0_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(x1)))) -> 1_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(x1)))) -> 1_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{5_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(x1)))) -> 4_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(x1)))) -> 4_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{3_1}(3_{1_1}(1_{1_1}(x1)))) -> 4_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{1_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(x1)))) -> 4_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{0_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(x1)))) -> 4_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(x1)))) -> 4_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{5_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(x1)))) -> 5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(x1)))) -> 5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{3_1}(3_{1_1}(1_{1_1}(x1)))) -> 5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{1_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(x1)))) -> 5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{0_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(x1)))) -> 5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(x1)))) -> 5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{5_1}(x1))))))))))) 103.68/27.23 2_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(x1)))) -> 2_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(x1))))))))))) 103.68/27.23 2_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(x1)))) -> 2_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(x1))))))))))) 103.68/27.23 2_{3_1}(3_{3_1}(3_{1_1}(1_{1_1}(x1)))) -> 2_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{1_1}(x1))))))))))) 103.68/27.23 2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(x1)))) -> 2_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{0_1}(x1))))))))))) 103.68/27.23 2_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(x1)))) -> 2_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(x1))))))))))) 103.68/27.23 2_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(x1)))) -> 2_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{5_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{3_1}(3_{1_1}(1_{2_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{2_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{3_1}(3_{1_1}(1_{1_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{1_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{0_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{3_1}(3_{1_1}(1_{3_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{3_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{3_1}(3_{1_1}(1_{5_1}(x1)))) -> 0_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{5_1}(5_{2_1}(2_{3_1}(3_{5_1}(5_{3_1}(3_{5_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{1_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{5_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 1_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 1_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 1_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{1_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 1_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 1_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 1_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{5_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 4_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 4_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 4_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{1_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 4_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 4_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 4_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{5_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 5_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 5_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 5_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{1_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 5_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 5_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 5_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{5_1}(x1))))))))))) 103.68/27.23 2_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 2_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(x1))))))))))) 103.68/27.23 2_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 2_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(x1))))))))))) 103.68/27.23 2_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 2_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{1_1}(x1))))))))))) 103.68/27.23 2_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 2_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(x1))))))))))) 103.68/27.23 2_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 2_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(x1))))))))))) 103.68/27.23 2_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 2_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{5_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{2_1}(x1))))) -> 0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(x1))))) -> 0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{1_1}(x1))))) -> 0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{1_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(x1))))) -> 0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{3_1}(x1))))) -> 0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{5_1}(x1))))) -> 0_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{5_1}(5_{5_1}(x1))))))))))) 103.68/27.23 3_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{2_1}(x1)))))) -> 3_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(x1))))))))))) 103.68/27.23 3_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(x1)))))) -> 3_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{4_1}(x1))))))))))) 103.68/27.23 3_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{1_1}(x1)))))) -> 3_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(x1))))))))))) 103.68/27.23 3_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(x1)))))) -> 3_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(x1))))))))))) 103.68/27.23 3_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{3_1}(x1)))))) -> 3_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(x1))))))))))) 103.68/27.23 3_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{5_1}(x1)))))) -> 3_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{5_1}(x1))))))))))) 103.68/27.23 1_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{2_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(x1))))))))))) 103.68/27.23 1_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{1_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(x1))))))))))) 103.68/27.23 1_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(x1))))))))))) 103.68/27.23 1_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{3_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(x1))))))))))) 103.68/27.23 1_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{5_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{5_1}(x1))))))))))) 103.68/27.23 4_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{2_1}(x1)))))) -> 4_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(x1))))))))))) 103.68/27.23 4_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{1_1}(x1)))))) -> 4_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(x1))))))))))) 103.68/27.23 4_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(x1)))))) -> 4_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(x1))))))))))) 103.68/27.23 4_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{3_1}(x1)))))) -> 4_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(x1))))))))))) 103.68/27.23 4_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{5_1}(x1)))))) -> 4_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{5_1}(x1))))))))))) 103.68/27.23 5_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{2_1}(x1)))))) -> 5_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(x1))))))))))) 103.68/27.23 5_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(x1)))))) -> 5_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{4_1}(x1))))))))))) 103.68/27.23 5_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{1_1}(x1)))))) -> 5_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(x1))))))))))) 103.68/27.23 5_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(x1)))))) -> 5_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(x1))))))))))) 103.68/27.23 5_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{3_1}(x1)))))) -> 5_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(x1))))))))))) 103.68/27.23 5_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{5_1}(x1)))))) -> 5_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{5_1}(x1))))))))))) 103.68/27.23 2_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{2_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(x1))))))))))) 103.68/27.23 2_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{4_1}(x1))))))))))) 103.68/27.23 2_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{1_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(x1))))))))))) 103.68/27.23 2_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(x1))))))))))) 103.68/27.23 2_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{3_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(x1))))))))))) 103.68/27.23 2_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{5_1}(x1)))))) -> 2_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{5_1}(x1))))))))))) 103.68/27.23 0_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{2_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{2_1}(x1))))))))))) 103.68/27.23 0_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{4_1}(x1))))))))))) 103.68/27.23 0_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{1_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(x1))))))))))) 103.68/27.23 0_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(x1))))))))))) 103.68/27.23 0_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{3_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{3_1}(x1))))))))))) 103.68/27.23 0_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{5_1}(x1)))))) -> 0_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{5_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(x1)))))) -> 3_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(x1)))))) -> 3_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{4_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(x1)))))) -> 3_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(x1)))))) -> 3_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(x1)))))) -> 3_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(x1)))))) -> 3_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{5_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(x1)))))) -> 1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(x1)))))) -> 1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{4_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(x1)))))) -> 1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(x1)))))) -> 1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(x1)))))) -> 1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(x1)))))) -> 1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{5_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(x1)))))) -> 4_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(x1)))))) -> 4_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{4_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(x1)))))) -> 4_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(x1)))))) -> 4_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(x1)))))) -> 4_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(x1)))))) -> 4_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{5_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(x1)))))) -> 5_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(x1)))))) -> 5_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{4_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(x1)))))) -> 5_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(x1)))))) -> 5_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(x1)))))) -> 5_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(x1)))))) -> 5_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{5_1}(x1))))))))))) 103.68/27.23 2_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(x1)))))) -> 2_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(x1))))))))))) 103.68/27.23 2_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(x1)))))) -> 2_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{4_1}(x1))))))))))) 103.68/27.23 2_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(x1)))))) -> 2_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(x1))))))))))) 103.68/27.23 2_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(x1)))))) -> 2_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(x1))))))))))) 103.68/27.23 2_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(x1)))))) -> 2_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(x1))))))))))) 103.68/27.23 2_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(x1)))))) -> 2_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{5_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(x1)))))) -> 0_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{4_1}(x1)))))) -> 0_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{4_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(x1)))))) -> 0_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{1_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{0_1}(x1)))))) -> 0_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{0_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(x1)))))) -> 0_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{3_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(1_{5_1}(x1)))))) -> 0_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{1_1}(1_{4_1}(4_{5_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 3_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 3_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 3_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 3_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 3_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 3_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 1_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 4_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 4_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 4_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 4_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 4_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 4_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 5_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 5_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 5_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 5_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 5_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 5_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))) 103.68/27.23 2_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))) 103.68/27.23 2_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))) 103.68/27.23 2_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))) 103.68/27.23 2_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))) 103.68/27.23 2_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))) 103.68/27.23 2_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 2_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 0_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 0_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 0_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 0_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 0_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(3_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 0_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(0_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))) 103.68/27.23 3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(x1))))))))))) 103.68/27.23 3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{4_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(x1))))))))))) 103.68/27.23 3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{1_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{1_1}(x1))))))))))) 103.68/27.23 3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(x1))))))))))) 103.68/27.23 3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(x1))))))))))) 103.68/27.23 3_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{5_1}(x1))))))))))) 103.68/27.23 1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(x1))))))) -> 1_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(x1))))))))))) 103.68/27.23 1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{4_1}(x1))))))) -> 1_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(x1))))))))))) 103.68/27.23 1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{1_1}(x1))))))) -> 1_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{1_1}(x1))))))))))) 103.68/27.23 1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(x1))))))) -> 1_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(x1))))))))))) 103.68/27.23 1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(x1))))))) -> 1_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(x1))))))))))) 103.68/27.23 1_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(x1))))))) -> 1_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{5_1}(x1))))))))))) 103.68/27.23 4_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(x1))))))))))) 103.68/27.23 4_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{4_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(x1))))))))))) 103.68/27.23 4_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{1_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{1_1}(x1))))))))))) 103.68/27.23 4_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(x1))))))))))) 103.68/27.23 4_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(x1))))))))))) 103.68/27.23 4_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{5_1}(x1))))))))))) 103.68/27.23 5_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(x1))))))))))) 103.68/27.23 5_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{4_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(x1))))))))))) 103.68/27.23 5_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{1_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{1_1}(x1))))))))))) 103.68/27.23 5_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(x1))))))))))) 103.68/27.23 5_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(x1))))))))))) 103.68/27.23 5_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{5_1}(x1))))))))))) 103.68/27.23 2_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(x1))))))))))) 103.68/27.23 2_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{4_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(x1))))))))))) 103.68/27.23 2_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{1_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{1_1}(x1))))))))))) 103.68/27.23 2_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(x1))))))))))) 103.68/27.23 2_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(x1))))))))))) 103.68/27.23 2_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{5_1}(x1))))))))))) 103.68/27.23 0_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{2_1}(x1))))))))))) 103.68/27.23 0_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{4_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(x1))))))))))) 103.68/27.23 0_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{1_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{1_1}(x1))))))))))) 103.68/27.23 0_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{0_1}(x1))))))))))) 103.68/27.23 0_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{3_1}(x1))))))))))) 103.68/27.23 0_{0_1}(0_{4_1}(4_{3_1}(3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{3_1}(3_{5_1}(5_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(3_{5_1}(x1))))))))))) 103.68/27.23 3_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))))) -> 3_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(x1))))))))))) 103.68/27.23 3_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(x1)))))))) -> 3_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(x1))))))))))) 103.68/27.23 3_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(x1)))))))) -> 3_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{1_1}(x1))))))))))) 103.68/27.23 3_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))))) -> 3_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(x1))))))))))) 103.68/27.23 3_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(x1)))))))) -> 3_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(x1))))))))))) 103.68/27.23 3_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))))) -> 3_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{5_1}(x1))))))))))) 103.68/27.23 1_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))))) -> 1_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(x1))))))))))) 103.68/27.23 1_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(x1)))))))) -> 1_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(x1))))))))))) 103.68/27.23 1_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(x1)))))))) -> 1_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{1_1}(x1))))))))))) 103.68/27.23 1_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))))) -> 1_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(x1))))))))))) 103.68/27.23 1_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(x1)))))))) -> 1_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(x1))))))))))) 103.68/27.23 1_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))))) -> 1_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{5_1}(x1))))))))))) 103.68/27.23 4_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))))) -> 4_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(x1))))))))))) 103.68/27.23 4_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(x1)))))))) -> 4_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(x1))))))))))) 103.68/27.23 4_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(x1)))))))) -> 4_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{1_1}(x1))))))))))) 103.68/27.23 4_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))))) -> 4_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(x1))))))))))) 103.68/27.23 4_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(x1)))))))) -> 4_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(x1))))))))))) 103.68/27.23 4_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))))) -> 4_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{5_1}(x1))))))))))) 103.68/27.23 5_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))))) -> 5_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(x1))))))))))) 103.68/27.23 5_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(x1)))))))) -> 5_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(x1))))))))))) 103.68/27.23 5_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(x1)))))))) -> 5_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{1_1}(x1))))))))))) 103.68/27.23 5_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))))) -> 5_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(x1))))))))))) 103.68/27.23 5_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(x1)))))))) -> 5_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(x1))))))))))) 103.68/27.23 5_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))))) -> 5_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{5_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(x1)))))))) -> 3_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(x1)))))))) -> 3_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(x1)))))))) -> 3_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{0_1}(x1)))))))) -> 3_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{3_1}(x1)))))))) -> 3_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{5_1}(x1)))))))) -> 3_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))))) 103.68/27.23 103.68/27.23 103.68/27.23 103.68/27.23 103.68/27.23 ---------------------------------------- 103.68/27.23 103.68/27.23 (8) 103.68/27.23 Obligation: 103.68/27.23 Q restricted rewrite system: 103.68/27.23 The TRS R consists of the following rules: 103.68/27.23 103.68/27.23 1_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{4_1}(x1))))))))))) 103.68/27.23 4_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(x1)))))) -> 4_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{4_1}(x1))))))))))) 103.68/27.23 2_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))))) -> 2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(x1))))))))))) 103.68/27.23 2_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(x1)))))))) -> 2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(x1))))))))))) 103.68/27.23 2_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(x1)))))))) -> 2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{1_1}(x1))))))))))) 103.68/27.23 2_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))))) -> 2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(x1))))))))))) 103.68/27.23 2_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(x1)))))))) -> 2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(x1))))))))))) 103.68/27.23 2_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))))) -> 2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{5_1}(x1))))))))))) 103.68/27.23 0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))))) -> 0_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(x1))))))))))) 103.68/27.23 0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(x1)))))))) -> 0_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(x1))))))))))) 103.68/27.23 0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(x1)))))))) -> 0_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{1_1}(x1))))))))))) 103.68/27.23 0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))))) -> 0_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(x1))))))))))) 103.68/27.23 0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(x1)))))))) -> 0_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(x1))))))))))) 103.68/27.23 0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))))) -> 0_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{5_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(x1)))))))) -> 1_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(x1)))))))) -> 1_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(x1)))))))) -> 1_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{0_1}(x1)))))))) -> 1_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{3_1}(x1)))))))) -> 1_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{5_1}(x1)))))))) -> 1_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(x1)))))))) -> 4_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(x1)))))))) -> 4_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(x1)))))))) -> 4_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{0_1}(x1)))))))) -> 4_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{3_1}(x1)))))))) -> 4_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{5_1}(x1)))))))) -> 4_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{0_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{3_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{5_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))))) 103.68/27.23 2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))))) 103.68/27.23 2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))))) 103.68/27.23 2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))))) 103.68/27.23 2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{0_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))))) 103.68/27.23 2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{3_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))))) 103.68/27.23 2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{5_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{0_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{3_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))))) 103.68/27.23 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{5_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.68/27.23 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.68/27.23 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.68/27.23 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.68/27.23 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.68/27.23 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.23 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.23 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.23 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.23 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.23 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.23 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.23 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.23 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.23 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.23 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.23 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.23 103.86/27.23 Q is empty. 103.86/27.23 103.86/27.23 ---------------------------------------- 103.86/27.23 103.86/27.23 (9) QTRSRRRProof (EQUIVALENT) 103.86/27.23 Used ordering: 103.86/27.23 Polynomial interpretation [POLO]: 103.86/27.23 103.86/27.23 POL(0_{0_1}(x_1)) = x_1 103.86/27.23 POL(0_{1_1}(x_1)) = x_1 103.86/27.23 POL(0_{2_1}(x_1)) = x_1 103.86/27.23 POL(0_{3_1}(x_1)) = x_1 103.86/27.23 POL(0_{4_1}(x_1)) = x_1 103.86/27.23 POL(0_{5_1}(x_1)) = x_1 103.86/27.23 POL(1_{0_1}(x_1)) = x_1 103.86/27.23 POL(1_{1_1}(x_1)) = 1 + x_1 103.86/27.23 POL(1_{2_1}(x_1)) = x_1 103.86/27.23 POL(1_{3_1}(x_1)) = x_1 103.86/27.23 POL(1_{5_1}(x_1)) = x_1 103.86/27.23 POL(2_{0_1}(x_1)) = x_1 103.86/27.23 POL(2_{1_1}(x_1)) = x_1 103.86/27.23 POL(2_{2_1}(x_1)) = x_1 103.86/27.23 POL(2_{3_1}(x_1)) = x_1 103.86/27.23 POL(2_{4_1}(x_1)) = x_1 103.86/27.23 POL(2_{5_1}(x_1)) = x_1 103.86/27.23 POL(3_{0_1}(x_1)) = x_1 103.86/27.23 POL(3_{1_1}(x_1)) = x_1 103.86/27.23 POL(3_{2_1}(x_1)) = x_1 103.86/27.23 POL(3_{3_1}(x_1)) = x_1 103.86/27.23 POL(3_{4_1}(x_1)) = x_1 103.86/27.23 POL(3_{5_1}(x_1)) = x_1 103.86/27.23 POL(4_{0_1}(x_1)) = x_1 103.86/27.23 POL(4_{1_1}(x_1)) = 1 + x_1 103.86/27.23 POL(4_{2_1}(x_1)) = x_1 103.86/27.23 POL(4_{3_1}(x_1)) = x_1 103.86/27.23 POL(4_{4_1}(x_1)) = x_1 103.86/27.23 POL(4_{5_1}(x_1)) = x_1 103.86/27.23 POL(5_{0_1}(x_1)) = x_1 103.86/27.23 POL(5_{1_1}(x_1)) = x_1 103.86/27.23 POL(5_{2_1}(x_1)) = x_1 103.86/27.23 POL(5_{3_1}(x_1)) = x_1 103.86/27.23 POL(5_{4_1}(x_1)) = x_1 103.86/27.23 POL(5_{5_1}(x_1)) = x_1 103.86/27.23 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 103.86/27.23 103.86/27.23 1_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(x1)))))) -> 1_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.23 4_{1_1}(1_{3_1}(3_{3_1}(3_{3_1}(3_{0_1}(0_{4_1}(x1)))))) -> 4_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.23 103.86/27.23 103.86/27.23 103.86/27.23 103.86/27.23 ---------------------------------------- 103.86/27.23 103.86/27.23 (10) 103.86/27.23 Obligation: 103.86/27.23 Q restricted rewrite system: 103.86/27.23 The TRS R consists of the following rules: 103.86/27.23 103.86/27.23 2_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))))) -> 2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(x1))))))))))) 103.86/27.23 2_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(x1)))))))) -> 2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(x1))))))))))) 103.86/27.23 2_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(x1)))))))) -> 2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{1_1}(x1))))))))))) 103.86/27.23 2_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))))) -> 2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(x1))))))))))) 103.86/27.23 2_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(x1)))))))) -> 2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(x1))))))))))) 103.86/27.23 2_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))))) -> 2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{5_1}(x1))))))))))) 103.86/27.23 0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))))) -> 0_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(x1))))))))))) 103.86/27.23 0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(x1)))))))) -> 0_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(x1))))))))))) 103.86/27.23 0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(x1)))))))) -> 0_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{1_1}(x1))))))))))) 103.86/27.23 0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))))) -> 0_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(x1))))))))))) 103.86/27.23 0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(x1)))))))) -> 0_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(x1))))))))))) 103.86/27.23 0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))))) -> 0_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{5_1}(x1))))))))))) 103.86/27.23 1_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(x1)))))))) -> 1_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))))) 103.86/27.23 1_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(x1)))))))) -> 1_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))))) 103.86/27.23 1_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(x1)))))))) -> 1_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))))) 103.86/27.23 1_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{0_1}(x1)))))))) -> 1_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))))) 103.86/27.23 1_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{3_1}(x1)))))))) -> 1_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))))) 103.86/27.23 1_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{5_1}(x1)))))))) -> 1_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))))) 103.86/27.23 4_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(x1)))))))) -> 4_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))))) 103.86/27.23 4_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(x1)))))))) -> 4_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))))) 103.86/27.23 4_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(x1)))))))) -> 4_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))))) 103.86/27.23 4_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{0_1}(x1)))))))) -> 4_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))))) 103.86/27.23 4_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{3_1}(x1)))))))) -> 4_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))))) 103.86/27.23 4_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{5_1}(x1)))))))) -> 4_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))))) 103.86/27.23 5_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))))) 103.86/27.23 5_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))))) 103.86/27.23 5_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))))) 103.86/27.23 5_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{0_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))))) 103.86/27.23 5_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{3_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))))) 103.86/27.23 5_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{5_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))))) 103.86/27.23 2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))))) 103.86/27.23 2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))))) 103.86/27.23 2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))))) 103.86/27.23 2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{0_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))))) 103.86/27.23 2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{3_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))))) 103.86/27.23 2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{5_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))))) 103.86/27.23 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))))) 103.86/27.23 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))))) 103.86/27.23 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))))) 103.86/27.23 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{0_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))))) 103.86/27.23 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{3_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))))) 103.86/27.23 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{5_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))))) 103.86/27.23 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.23 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.23 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.23 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.23 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.23 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.23 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.23 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.23 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.23 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.23 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.23 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.23 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.23 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.23 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.23 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.23 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.23 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.23 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.23 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.23 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.23 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.23 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.23 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.23 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.23 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.23 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.23 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.23 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.23 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.23 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.23 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.23 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.23 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.23 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.23 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.23 103.86/27.23 Q is empty. 103.86/27.23 103.86/27.23 ---------------------------------------- 103.86/27.23 103.86/27.23 (11) QTRSRRRProof (EQUIVALENT) 103.86/27.23 Used ordering: 103.86/27.23 Polynomial interpretation [POLO]: 103.86/27.23 103.86/27.23 POL(0_{0_1}(x_1)) = 1 + x_1 103.86/27.23 POL(0_{1_1}(x_1)) = x_1 103.86/27.23 POL(0_{2_1}(x_1)) = x_1 103.86/27.23 POL(0_{3_1}(x_1)) = x_1 103.86/27.23 POL(0_{4_1}(x_1)) = x_1 103.86/27.23 POL(0_{5_1}(x_1)) = x_1 103.86/27.23 POL(1_{0_1}(x_1)) = x_1 103.86/27.23 POL(1_{2_1}(x_1)) = x_1 103.86/27.23 POL(1_{3_1}(x_1)) = x_1 103.86/27.23 POL(1_{5_1}(x_1)) = x_1 103.86/27.23 POL(2_{0_1}(x_1)) = x_1 103.86/27.23 POL(2_{1_1}(x_1)) = x_1 103.86/27.23 POL(2_{2_1}(x_1)) = x_1 103.86/27.23 POL(2_{3_1}(x_1)) = x_1 103.86/27.23 POL(2_{4_1}(x_1)) = x_1 103.86/27.23 POL(2_{5_1}(x_1)) = x_1 103.86/27.23 POL(3_{0_1}(x_1)) = x_1 103.86/27.23 POL(3_{1_1}(x_1)) = 1 + x_1 103.86/27.23 POL(3_{2_1}(x_1)) = x_1 103.86/27.23 POL(3_{3_1}(x_1)) = x_1 103.86/27.23 POL(3_{4_1}(x_1)) = x_1 103.86/27.23 POL(3_{5_1}(x_1)) = x_1 103.86/27.23 POL(4_{0_1}(x_1)) = x_1 103.86/27.23 POL(4_{1_1}(x_1)) = x_1 103.86/27.23 POL(4_{2_1}(x_1)) = x_1 103.86/27.23 POL(4_{3_1}(x_1)) = x_1 103.86/27.23 POL(4_{4_1}(x_1)) = x_1 103.86/27.23 POL(4_{5_1}(x_1)) = x_1 103.86/27.23 POL(5_{0_1}(x_1)) = x_1 103.86/27.23 POL(5_{1_1}(x_1)) = x_1 103.86/27.23 POL(5_{2_1}(x_1)) = x_1 103.86/27.23 POL(5_{3_1}(x_1)) = x_1 103.86/27.23 POL(5_{4_1}(x_1)) = 1 + x_1 103.86/27.23 POL(5_{5_1}(x_1)) = x_1 103.86/27.23 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 103.86/27.23 103.86/27.23 2_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))))) -> 2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(x1))))))))))) 103.86/27.23 2_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(x1)))))))) -> 2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(x1))))))))))) 103.86/27.23 2_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(x1)))))))) -> 2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{1_1}(x1))))))))))) 103.86/27.23 2_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))))) -> 2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(x1))))))))))) 103.86/27.23 2_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(x1)))))))) -> 2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(x1))))))))))) 103.86/27.23 2_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))))) -> 2_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{5_1}(x1))))))))))) 103.86/27.23 103.86/27.23 103.86/27.23 103.86/27.23 103.86/27.23 ---------------------------------------- 103.86/27.23 103.86/27.23 (12) 103.86/27.23 Obligation: 103.86/27.23 Q restricted rewrite system: 103.86/27.23 The TRS R consists of the following rules: 103.86/27.23 103.86/27.23 0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))))) -> 0_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(x1))))))))))) 103.86/27.23 0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(x1)))))))) -> 0_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(x1))))))))))) 103.86/27.23 0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(x1)))))))) -> 0_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{1_1}(x1))))))))))) 103.86/27.23 0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))))) -> 0_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(x1))))))))))) 103.86/27.23 0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(x1)))))))) -> 0_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(x1))))))))))) 103.86/27.23 0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))))) -> 0_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{5_1}(x1))))))))))) 103.86/27.23 1_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(x1)))))))) -> 1_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))))) 103.86/27.23 1_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(x1)))))))) -> 1_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))))) 103.86/27.23 1_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(x1)))))))) -> 1_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))))) 103.86/27.23 1_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{0_1}(x1)))))))) -> 1_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))))) 103.86/27.23 1_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{3_1}(x1)))))))) -> 1_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))))) 103.86/27.23 1_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{5_1}(x1)))))))) -> 1_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))))) 103.86/27.23 4_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(x1)))))))) -> 4_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))))) 103.86/27.23 4_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(x1)))))))) -> 4_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))))) 103.86/27.23 4_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(x1)))))))) -> 4_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))))) 103.86/27.23 4_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{0_1}(x1)))))))) -> 4_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))))) 103.86/27.23 4_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{3_1}(x1)))))))) -> 4_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))))) 103.86/27.23 4_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{5_1}(x1)))))))) -> 4_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))))) 103.86/27.23 5_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))))) 103.86/27.23 5_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))))) 103.86/27.23 5_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))))) 103.86/27.23 5_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{0_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))))) 103.86/27.23 5_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{3_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))))) 103.86/27.23 5_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{5_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))))) 103.86/27.23 2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))))) 103.86/27.23 2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))))) 103.86/27.23 2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))))) 103.86/27.23 2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{0_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))))) 103.86/27.23 2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{3_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))))) 103.86/27.23 2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{5_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))))) 103.86/27.23 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))))) 103.86/27.23 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))))) 103.86/27.23 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))))) 103.86/27.23 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{0_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))))) 103.86/27.23 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{3_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))))) 103.86/27.23 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{5_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))))) 103.86/27.23 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.23 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.23 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.23 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.23 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.23 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.23 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.23 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.23 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.23 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.23 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.23 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.23 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.23 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.23 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 103.86/27.24 Q is empty. 103.86/27.24 103.86/27.24 ---------------------------------------- 103.86/27.24 103.86/27.24 (13) QTRSRRRProof (EQUIVALENT) 103.86/27.24 Used ordering: 103.86/27.24 Polynomial interpretation [POLO]: 103.86/27.24 103.86/27.24 POL(0_{0_1}(x_1)) = x_1 103.86/27.24 POL(0_{1_1}(x_1)) = x_1 103.86/27.24 POL(0_{2_1}(x_1)) = x_1 103.86/27.24 POL(0_{3_1}(x_1)) = x_1 103.86/27.24 POL(0_{4_1}(x_1)) = x_1 103.86/27.24 POL(0_{5_1}(x_1)) = x_1 103.86/27.24 POL(1_{0_1}(x_1)) = x_1 103.86/27.24 POL(1_{2_1}(x_1)) = x_1 103.86/27.24 POL(1_{3_1}(x_1)) = x_1 103.86/27.24 POL(1_{5_1}(x_1)) = x_1 103.86/27.24 POL(2_{0_1}(x_1)) = 1 + x_1 103.86/27.24 POL(2_{1_1}(x_1)) = x_1 103.86/27.24 POL(2_{2_1}(x_1)) = x_1 103.86/27.24 POL(2_{3_1}(x_1)) = x_1 103.86/27.24 POL(2_{4_1}(x_1)) = x_1 103.86/27.24 POL(2_{5_1}(x_1)) = x_1 103.86/27.24 POL(3_{0_1}(x_1)) = x_1 103.86/27.24 POL(3_{1_1}(x_1)) = x_1 103.86/27.24 POL(3_{2_1}(x_1)) = x_1 103.86/27.24 POL(3_{3_1}(x_1)) = x_1 103.86/27.24 POL(3_{4_1}(x_1)) = x_1 103.86/27.24 POL(3_{5_1}(x_1)) = x_1 103.86/27.24 POL(4_{0_1}(x_1)) = x_1 103.86/27.24 POL(4_{1_1}(x_1)) = x_1 103.86/27.24 POL(4_{2_1}(x_1)) = x_1 103.86/27.24 POL(4_{3_1}(x_1)) = x_1 103.86/27.24 POL(4_{4_1}(x_1)) = x_1 103.86/27.24 POL(4_{5_1}(x_1)) = x_1 103.86/27.24 POL(5_{0_1}(x_1)) = x_1 103.86/27.24 POL(5_{1_1}(x_1)) = x_1 103.86/27.24 POL(5_{2_1}(x_1)) = x_1 103.86/27.24 POL(5_{3_1}(x_1)) = x_1 103.86/27.24 POL(5_{4_1}(x_1)) = x_1 103.86/27.24 POL(5_{5_1}(x_1)) = x_1 103.86/27.24 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 103.86/27.24 103.86/27.24 0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1)))))))) -> 0_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(x1))))))))))) 103.86/27.24 0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(x1)))))))) -> 0_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(x1))))))))))) 103.86/27.24 0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(x1)))))))) -> 0_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{1_1}(x1))))))))))) 103.86/27.24 0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1)))))))) -> 0_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(x1))))))))))) 103.86/27.24 0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(x1)))))))) -> 0_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{3_1}(x1))))))))))) 103.86/27.24 0_{5_1}(5_{2_1}(2_{3_1}(3_{1_1}(1_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1)))))))) -> 0_{0_1}(0_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{5_1}(x1))))))))))) 103.86/27.24 103.86/27.24 103.86/27.24 103.86/27.24 103.86/27.24 ---------------------------------------- 103.86/27.24 103.86/27.24 (14) 103.86/27.24 Obligation: 103.86/27.24 Q restricted rewrite system: 103.86/27.24 The TRS R consists of the following rules: 103.86/27.24 103.86/27.24 1_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(x1)))))))) -> 1_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))))) 103.86/27.24 1_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(x1)))))))) -> 1_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))))) 103.86/27.24 1_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(x1)))))))) -> 1_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))))) 103.86/27.24 1_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{0_1}(x1)))))))) -> 1_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))))) 103.86/27.24 1_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{3_1}(x1)))))))) -> 1_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))))) 103.86/27.24 1_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{5_1}(x1)))))))) -> 1_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(x1)))))))) -> 4_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(x1)))))))) -> 4_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(x1)))))))) -> 4_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{0_1}(x1)))))))) -> 4_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{3_1}(x1)))))))) -> 4_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{5_1}(x1)))))))) -> 4_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{0_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{3_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{5_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{0_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{3_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{5_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{0_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{3_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{5_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))))) 103.86/27.24 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 103.86/27.24 Q is empty. 103.86/27.24 103.86/27.24 ---------------------------------------- 103.86/27.24 103.86/27.24 (15) QTRSRRRProof (EQUIVALENT) 103.86/27.24 Used ordering: 103.86/27.24 Polynomial interpretation [POLO]: 103.86/27.24 103.86/27.24 POL(0_{2_1}(x_1)) = x_1 103.86/27.24 POL(0_{3_1}(x_1)) = x_1 103.86/27.24 POL(0_{5_1}(x_1)) = x_1 103.86/27.24 POL(1_{0_1}(x_1)) = x_1 103.86/27.24 POL(1_{2_1}(x_1)) = 1 + x_1 103.86/27.24 POL(1_{3_1}(x_1)) = 1 + x_1 103.86/27.24 POL(1_{5_1}(x_1)) = x_1 103.86/27.24 POL(2_{2_1}(x_1)) = x_1 103.86/27.24 POL(2_{3_1}(x_1)) = x_1 103.86/27.24 POL(2_{4_1}(x_1)) = x_1 103.86/27.24 POL(2_{5_1}(x_1)) = x_1 103.86/27.24 POL(3_{0_1}(x_1)) = x_1 103.86/27.24 POL(3_{1_1}(x_1)) = x_1 103.86/27.24 POL(3_{2_1}(x_1)) = x_1 103.86/27.24 POL(3_{3_1}(x_1)) = x_1 103.86/27.24 POL(3_{4_1}(x_1)) = x_1 103.86/27.24 POL(3_{5_1}(x_1)) = x_1 103.86/27.24 POL(4_{1_1}(x_1)) = x_1 103.86/27.24 POL(4_{2_1}(x_1)) = x_1 103.86/27.24 POL(4_{3_1}(x_1)) = x_1 103.86/27.24 POL(4_{4_1}(x_1)) = x_1 103.86/27.24 POL(4_{5_1}(x_1)) = x_1 103.86/27.24 POL(5_{0_1}(x_1)) = x_1 103.86/27.24 POL(5_{1_1}(x_1)) = x_1 103.86/27.24 POL(5_{2_1}(x_1)) = x_1 103.86/27.24 POL(5_{3_1}(x_1)) = x_1 103.86/27.24 POL(5_{4_1}(x_1)) = x_1 103.86/27.24 POL(5_{5_1}(x_1)) = x_1 103.86/27.24 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 103.86/27.24 103.86/27.24 1_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(x1)))))))) -> 1_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))))) 103.86/27.24 1_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(x1)))))))) -> 1_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))))) 103.86/27.24 1_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(x1)))))))) -> 1_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))))) 103.86/27.24 1_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{0_1}(x1)))))))) -> 1_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))))) 103.86/27.24 1_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{3_1}(x1)))))))) -> 1_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))))) 103.86/27.24 1_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{5_1}(x1)))))))) -> 1_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))))) 103.86/27.24 103.86/27.24 103.86/27.24 103.86/27.24 103.86/27.24 ---------------------------------------- 103.86/27.24 103.86/27.24 (16) 103.86/27.24 Obligation: 103.86/27.24 Q restricted rewrite system: 103.86/27.24 The TRS R consists of the following rules: 103.86/27.24 103.86/27.24 4_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(x1)))))))) -> 4_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(x1)))))))) -> 4_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(x1)))))))) -> 4_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{0_1}(x1)))))))) -> 4_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{3_1}(x1)))))))) -> 4_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{5_1}(x1)))))))) -> 4_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{0_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{3_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{5_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{0_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{3_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{5_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{0_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{3_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{5_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))))) 103.86/27.24 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 103.86/27.24 Q is empty. 103.86/27.24 103.86/27.24 ---------------------------------------- 103.86/27.24 103.86/27.24 (17) QTRSRRRProof (EQUIVALENT) 103.86/27.24 Used ordering: 103.86/27.24 Polynomial interpretation [POLO]: 103.86/27.24 103.86/27.24 POL(0_{2_1}(x_1)) = x_1 103.86/27.24 POL(0_{3_1}(x_1)) = x_1 103.86/27.24 POL(0_{5_1}(x_1)) = 1 + x_1 103.86/27.24 POL(1_{0_1}(x_1)) = x_1 103.86/27.24 POL(1_{2_1}(x_1)) = x_1 103.86/27.24 POL(1_{3_1}(x_1)) = x_1 103.86/27.24 POL(1_{5_1}(x_1)) = x_1 103.86/27.24 POL(2_{2_1}(x_1)) = x_1 103.86/27.24 POL(2_{3_1}(x_1)) = x_1 103.86/27.24 POL(2_{4_1}(x_1)) = x_1 103.86/27.24 POL(2_{5_1}(x_1)) = 1 + x_1 103.86/27.24 POL(3_{0_1}(x_1)) = x_1 103.86/27.24 POL(3_{1_1}(x_1)) = 1 + x_1 103.86/27.24 POL(3_{2_1}(x_1)) = x_1 103.86/27.24 POL(3_{3_1}(x_1)) = x_1 103.86/27.24 POL(3_{4_1}(x_1)) = x_1 103.86/27.24 POL(3_{5_1}(x_1)) = x_1 103.86/27.24 POL(4_{1_1}(x_1)) = x_1 103.86/27.24 POL(4_{2_1}(x_1)) = x_1 103.86/27.24 POL(4_{3_1}(x_1)) = x_1 103.86/27.24 POL(4_{4_1}(x_1)) = x_1 103.86/27.24 POL(4_{5_1}(x_1)) = x_1 103.86/27.24 POL(5_{0_1}(x_1)) = x_1 103.86/27.24 POL(5_{1_1}(x_1)) = x_1 103.86/27.24 POL(5_{2_1}(x_1)) = x_1 103.86/27.24 POL(5_{3_1}(x_1)) = x_1 103.86/27.24 POL(5_{4_1}(x_1)) = x_1 103.86/27.24 POL(5_{5_1}(x_1)) = 1 + x_1 103.86/27.24 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 103.86/27.24 103.86/27.24 4_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(x1)))))))) -> 4_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(x1)))))))) -> 4_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(x1)))))))) -> 4_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{0_1}(x1)))))))) -> 4_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{3_1}(x1)))))))) -> 4_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{5_1}(x1)))))))) -> 4_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))))) 103.86/27.24 103.86/27.24 103.86/27.24 103.86/27.24 103.86/27.24 ---------------------------------------- 103.86/27.24 103.86/27.24 (18) 103.86/27.24 Obligation: 103.86/27.24 Q restricted rewrite system: 103.86/27.24 The TRS R consists of the following rules: 103.86/27.24 103.86/27.24 5_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{0_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{3_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{5_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{0_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{3_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{5_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{0_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{3_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{5_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))))) 103.86/27.24 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 103.86/27.24 Q is empty. 103.86/27.24 103.86/27.24 ---------------------------------------- 103.86/27.24 103.86/27.24 (19) QTRSRRRProof (EQUIVALENT) 103.86/27.24 Used ordering: 103.86/27.24 Polynomial interpretation [POLO]: 103.86/27.24 103.86/27.24 POL(0_{2_1}(x_1)) = x_1 103.86/27.24 POL(0_{3_1}(x_1)) = x_1 103.86/27.24 POL(0_{5_1}(x_1)) = 1 + x_1 103.86/27.24 POL(1_{0_1}(x_1)) = x_1 103.86/27.24 POL(1_{2_1}(x_1)) = x_1 103.86/27.24 POL(1_{3_1}(x_1)) = x_1 103.86/27.24 POL(1_{5_1}(x_1)) = x_1 103.86/27.24 POL(2_{2_1}(x_1)) = x_1 103.86/27.24 POL(2_{3_1}(x_1)) = x_1 103.86/27.24 POL(2_{4_1}(x_1)) = x_1 103.86/27.24 POL(2_{5_1}(x_1)) = 1 + x_1 103.86/27.24 POL(3_{0_1}(x_1)) = x_1 103.86/27.24 POL(3_{1_1}(x_1)) = x_1 103.86/27.24 POL(3_{2_1}(x_1)) = x_1 103.86/27.24 POL(3_{3_1}(x_1)) = x_1 103.86/27.24 POL(3_{4_1}(x_1)) = x_1 103.86/27.24 POL(3_{5_1}(x_1)) = x_1 103.86/27.24 POL(4_{1_1}(x_1)) = x_1 103.86/27.24 POL(4_{2_1}(x_1)) = x_1 103.86/27.24 POL(4_{3_1}(x_1)) = x_1 103.86/27.24 POL(4_{4_1}(x_1)) = x_1 103.86/27.24 POL(5_{0_1}(x_1)) = x_1 103.86/27.24 POL(5_{1_1}(x_1)) = x_1 103.86/27.24 POL(5_{2_1}(x_1)) = x_1 103.86/27.24 POL(5_{3_1}(x_1)) = x_1 103.86/27.24 POL(5_{4_1}(x_1)) = x_1 103.86/27.24 POL(5_{5_1}(x_1)) = x_1 103.86/27.24 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 103.86/27.24 103.86/27.24 5_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{0_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{3_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{5_1}(x1)))))))) -> 5_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))))) 103.86/27.24 103.86/27.24 103.86/27.24 103.86/27.24 103.86/27.24 ---------------------------------------- 103.86/27.24 103.86/27.24 (20) 103.86/27.24 Obligation: 103.86/27.24 Q restricted rewrite system: 103.86/27.24 The TRS R consists of the following rules: 103.86/27.24 103.86/27.24 2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{0_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{3_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{5_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{0_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{3_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{5_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))))) 103.86/27.24 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 103.86/27.24 Q is empty. 103.86/27.24 103.86/27.24 ---------------------------------------- 103.86/27.24 103.86/27.24 (21) QTRSRRRProof (EQUIVALENT) 103.86/27.24 Used ordering: 103.86/27.24 Polynomial interpretation [POLO]: 103.86/27.24 103.86/27.24 POL(0_{2_1}(x_1)) = x_1 103.86/27.24 POL(0_{3_1}(x_1)) = x_1 103.86/27.24 POL(0_{5_1}(x_1)) = 1 + x_1 103.86/27.24 POL(1_{0_1}(x_1)) = 1 + x_1 103.86/27.24 POL(1_{2_1}(x_1)) = x_1 103.86/27.24 POL(1_{3_1}(x_1)) = x_1 103.86/27.24 POL(1_{5_1}(x_1)) = x_1 103.86/27.24 POL(2_{2_1}(x_1)) = x_1 103.86/27.24 POL(2_{3_1}(x_1)) = x_1 103.86/27.24 POL(2_{4_1}(x_1)) = x_1 103.86/27.24 POL(2_{5_1}(x_1)) = x_1 103.86/27.24 POL(3_{0_1}(x_1)) = x_1 103.86/27.24 POL(3_{1_1}(x_1)) = x_1 103.86/27.24 POL(3_{2_1}(x_1)) = x_1 103.86/27.24 POL(3_{3_1}(x_1)) = x_1 103.86/27.24 POL(3_{4_1}(x_1)) = x_1 103.86/27.24 POL(3_{5_1}(x_1)) = x_1 103.86/27.24 POL(4_{1_1}(x_1)) = x_1 103.86/27.24 POL(4_{2_1}(x_1)) = x_1 103.86/27.24 POL(4_{3_1}(x_1)) = x_1 103.86/27.24 POL(4_{4_1}(x_1)) = x_1 103.86/27.24 POL(5_{0_1}(x_1)) = x_1 103.86/27.24 POL(5_{1_1}(x_1)) = x_1 103.86/27.24 POL(5_{2_1}(x_1)) = x_1 103.86/27.24 POL(5_{3_1}(x_1)) = x_1 103.86/27.24 POL(5_{4_1}(x_1)) = x_1 103.86/27.24 POL(5_{5_1}(x_1)) = x_1 103.86/27.24 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 103.86/27.24 103.86/27.24 2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{0_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{3_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{5_1}(x1)))))))) -> 2_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))))) 103.86/27.24 103.86/27.24 103.86/27.24 103.86/27.24 103.86/27.24 ---------------------------------------- 103.86/27.24 103.86/27.24 (22) 103.86/27.24 Obligation: 103.86/27.24 Q restricted rewrite system: 103.86/27.24 The TRS R consists of the following rules: 103.86/27.24 103.86/27.24 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{0_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{3_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{5_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))))) 103.86/27.24 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 103.86/27.24 Q is empty. 103.86/27.24 103.86/27.24 ---------------------------------------- 103.86/27.24 103.86/27.24 (23) QTRSRRRProof (EQUIVALENT) 103.86/27.24 Used ordering: 103.86/27.24 Polynomial interpretation [POLO]: 103.86/27.24 103.86/27.24 POL(0_{2_1}(x_1)) = x_1 103.86/27.24 POL(0_{3_1}(x_1)) = x_1 103.86/27.24 POL(0_{5_1}(x_1)) = x_1 103.86/27.24 POL(1_{0_1}(x_1)) = 1 + x_1 103.86/27.24 POL(1_{2_1}(x_1)) = x_1 103.86/27.24 POL(1_{3_1}(x_1)) = x_1 103.86/27.24 POL(1_{5_1}(x_1)) = x_1 103.86/27.24 POL(2_{2_1}(x_1)) = x_1 103.86/27.24 POL(2_{3_1}(x_1)) = x_1 103.86/27.24 POL(2_{4_1}(x_1)) = x_1 103.86/27.24 POL(2_{5_1}(x_1)) = x_1 103.86/27.24 POL(3_{0_1}(x_1)) = x_1 103.86/27.24 POL(3_{1_1}(x_1)) = x_1 103.86/27.24 POL(3_{2_1}(x_1)) = x_1 103.86/27.24 POL(3_{3_1}(x_1)) = x_1 103.86/27.24 POL(3_{4_1}(x_1)) = x_1 103.86/27.24 POL(3_{5_1}(x_1)) = x_1 103.86/27.24 POL(4_{1_1}(x_1)) = x_1 103.86/27.24 POL(4_{2_1}(x_1)) = x_1 103.86/27.24 POL(4_{3_1}(x_1)) = x_1 103.86/27.24 POL(4_{4_1}(x_1)) = x_1 103.86/27.24 POL(5_{0_1}(x_1)) = x_1 103.86/27.24 POL(5_{1_1}(x_1)) = x_1 103.86/27.24 POL(5_{2_1}(x_1)) = x_1 103.86/27.24 POL(5_{3_1}(x_1)) = x_1 103.86/27.24 POL(5_{4_1}(x_1)) = x_1 103.86/27.24 POL(5_{5_1}(x_1)) = x_1 103.86/27.24 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 103.86/27.24 103.86/27.24 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{0_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{3_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{1_1}(1_{0_1}(0_{2_1}(2_{5_1}(5_{3_1}(3_{5_1}(x1)))))))) -> 0_{5_1}(5_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))))) 103.86/27.24 103.86/27.24 103.86/27.24 103.86/27.24 103.86/27.24 ---------------------------------------- 103.86/27.24 103.86/27.24 (24) 103.86/27.24 Obligation: 103.86/27.24 Q restricted rewrite system: 103.86/27.24 The TRS R consists of the following rules: 103.86/27.24 103.86/27.24 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 103.86/27.24 Q is empty. 103.86/27.24 103.86/27.24 ---------------------------------------- 103.86/27.24 103.86/27.24 (25) QTRSRRRProof (EQUIVALENT) 103.86/27.24 Used ordering: 103.86/27.24 Polynomial interpretation [POLO]: 103.86/27.24 103.86/27.24 POL(0_{2_1}(x_1)) = x_1 103.86/27.24 POL(0_{3_1}(x_1)) = x_1 103.86/27.24 POL(1_{2_1}(x_1)) = x_1 103.86/27.24 POL(1_{3_1}(x_1)) = x_1 103.86/27.24 POL(1_{5_1}(x_1)) = x_1 103.86/27.24 POL(2_{2_1}(x_1)) = x_1 103.86/27.24 POL(2_{3_1}(x_1)) = x_1 103.86/27.24 POL(2_{4_1}(x_1)) = 2 + x_1 103.86/27.24 POL(3_{2_1}(x_1)) = x_1 103.86/27.24 POL(3_{3_1}(x_1)) = 1 + x_1 103.86/27.24 POL(3_{5_1}(x_1)) = x_1 103.86/27.24 POL(4_{1_1}(x_1)) = x_1 103.86/27.24 POL(4_{2_1}(x_1)) = x_1 103.86/27.24 POL(4_{3_1}(x_1)) = x_1 103.86/27.24 POL(4_{4_1}(x_1)) = x_1 103.86/27.24 POL(5_{0_1}(x_1)) = x_1 103.86/27.24 POL(5_{1_1}(x_1)) = x_1 103.86/27.24 POL(5_{2_1}(x_1)) = x_1 103.86/27.24 POL(5_{3_1}(x_1)) = x_1 103.86/27.24 POL(5_{4_1}(x_1)) = x_1 103.86/27.24 POL(5_{5_1}(x_1)) = x_1 103.86/27.24 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 103.86/27.24 103.86/27.24 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 3_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 3_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 103.86/27.24 103.86/27.24 103.86/27.24 103.86/27.24 ---------------------------------------- 103.86/27.24 103.86/27.24 (26) 103.86/27.24 Obligation: 103.86/27.24 Q restricted rewrite system: 103.86/27.24 The TRS R consists of the following rules: 103.86/27.24 103.86/27.24 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 103.86/27.24 Q is empty. 103.86/27.24 103.86/27.24 ---------------------------------------- 103.86/27.24 103.86/27.24 (27) QTRSRRRProof (EQUIVALENT) 103.86/27.24 Used ordering: 103.86/27.24 Polynomial interpretation [POLO]: 103.86/27.24 103.86/27.24 POL(0_{2_1}(x_1)) = x_1 103.86/27.24 POL(0_{3_1}(x_1)) = x_1 103.86/27.24 POL(1_{2_1}(x_1)) = x_1 103.86/27.24 POL(1_{3_1}(x_1)) = 1 + x_1 103.86/27.24 POL(1_{5_1}(x_1)) = x_1 103.86/27.24 POL(2_{2_1}(x_1)) = x_1 103.86/27.24 POL(2_{3_1}(x_1)) = x_1 103.86/27.24 POL(2_{4_1}(x_1)) = x_1 103.86/27.24 POL(3_{2_1}(x_1)) = x_1 103.86/27.24 POL(3_{3_1}(x_1)) = x_1 103.86/27.24 POL(3_{5_1}(x_1)) = x_1 103.86/27.24 POL(4_{1_1}(x_1)) = x_1 103.86/27.24 POL(4_{2_1}(x_1)) = x_1 103.86/27.24 POL(4_{3_1}(x_1)) = x_1 103.86/27.24 POL(4_{4_1}(x_1)) = x_1 103.86/27.24 POL(5_{0_1}(x_1)) = x_1 103.86/27.24 POL(5_{1_1}(x_1)) = x_1 103.86/27.24 POL(5_{2_1}(x_1)) = x_1 103.86/27.24 POL(5_{3_1}(x_1)) = x_1 103.86/27.24 POL(5_{4_1}(x_1)) = x_1 103.86/27.24 POL(5_{5_1}(x_1)) = x_1 103.86/27.24 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 103.86/27.24 103.86/27.24 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 1_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 1_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 103.86/27.24 103.86/27.24 103.86/27.24 103.86/27.24 ---------------------------------------- 103.86/27.24 103.86/27.24 (28) 103.86/27.24 Obligation: 103.86/27.24 Q restricted rewrite system: 103.86/27.24 The TRS R consists of the following rules: 103.86/27.24 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 103.86/27.24 Q is empty. 103.86/27.24 103.86/27.24 ---------------------------------------- 103.86/27.24 103.86/27.24 (29) QTRSRRRProof (EQUIVALENT) 103.86/27.24 Used ordering: 103.86/27.24 Polynomial interpretation [POLO]: 103.86/27.24 103.86/27.24 POL(0_{2_1}(x_1)) = 1 + x_1 103.86/27.24 POL(0_{3_1}(x_1)) = x_1 103.86/27.24 POL(1_{5_1}(x_1)) = x_1 103.86/27.24 POL(2_{2_1}(x_1)) = 1 + x_1 103.86/27.24 POL(2_{3_1}(x_1)) = x_1 103.86/27.24 POL(2_{4_1}(x_1)) = x_1 103.86/27.24 POL(3_{2_1}(x_1)) = 1 + x_1 103.86/27.24 POL(3_{3_1}(x_1)) = 1 + x_1 103.86/27.24 POL(3_{5_1}(x_1)) = x_1 103.86/27.24 POL(4_{1_1}(x_1)) = x_1 103.86/27.24 POL(4_{2_1}(x_1)) = x_1 103.86/27.24 POL(4_{3_1}(x_1)) = x_1 103.86/27.24 POL(4_{4_1}(x_1)) = x_1 103.86/27.24 POL(5_{0_1}(x_1)) = x_1 103.86/27.24 POL(5_{1_1}(x_1)) = x_1 103.86/27.24 POL(5_{2_1}(x_1)) = 1 + x_1 103.86/27.24 POL(5_{3_1}(x_1)) = x_1 103.86/27.24 POL(5_{4_1}(x_1)) = x_1 103.86/27.24 POL(5_{5_1}(x_1)) = x_1 103.86/27.24 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 103.86/27.24 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 4_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 4_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 103.86/27.24 103.86/27.24 103.86/27.24 103.86/27.24 ---------------------------------------- 103.86/27.24 103.86/27.24 (30) 103.86/27.24 Obligation: 103.86/27.24 Q restricted rewrite system: 103.86/27.24 The TRS R consists of the following rules: 103.86/27.24 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 103.86/27.24 Q is empty. 103.86/27.24 103.86/27.24 ---------------------------------------- 103.86/27.24 103.86/27.24 (31) QTRSRRRProof (EQUIVALENT) 103.86/27.24 Used ordering: 103.86/27.24 Polynomial interpretation [POLO]: 103.86/27.24 103.86/27.24 POL(0_{2_1}(x_1)) = x_1 103.86/27.24 POL(0_{3_1}(x_1)) = x_1 103.86/27.24 POL(1_{5_1}(x_1)) = x_1 103.86/27.24 POL(2_{2_1}(x_1)) = x_1 103.86/27.24 POL(2_{3_1}(x_1)) = x_1 103.86/27.24 POL(2_{4_1}(x_1)) = x_1 103.86/27.24 POL(3_{2_1}(x_1)) = x_1 103.86/27.24 POL(3_{3_1}(x_1)) = x_1 103.86/27.24 POL(3_{5_1}(x_1)) = x_1 103.86/27.24 POL(4_{1_1}(x_1)) = x_1 103.86/27.24 POL(4_{3_1}(x_1)) = x_1 103.86/27.24 POL(4_{4_1}(x_1)) = x_1 103.86/27.24 POL(5_{0_1}(x_1)) = x_1 103.86/27.24 POL(5_{1_1}(x_1)) = x_1 103.86/27.24 POL(5_{2_1}(x_1)) = x_1 103.86/27.24 POL(5_{3_1}(x_1)) = 1 + x_1 103.86/27.24 POL(5_{4_1}(x_1)) = x_1 103.86/27.24 POL(5_{5_1}(x_1)) = x_1 103.86/27.24 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 103.86/27.24 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 5_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 5_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 103.86/27.24 103.86/27.24 103.86/27.24 103.86/27.24 ---------------------------------------- 103.86/27.24 103.86/27.24 (32) 103.86/27.24 Obligation: 103.86/27.24 Q restricted rewrite system: 103.86/27.24 The TRS R consists of the following rules: 103.86/27.24 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 103.86/27.24 Q is empty. 103.86/27.24 103.86/27.24 ---------------------------------------- 103.86/27.24 103.86/27.24 (33) QTRSRRRProof (EQUIVALENT) 103.86/27.24 Used ordering: 103.86/27.24 Polynomial interpretation [POLO]: 103.86/27.24 103.86/27.24 POL(0_{2_1}(x_1)) = 1 + x_1 103.86/27.24 POL(0_{3_1}(x_1)) = x_1 103.86/27.24 POL(1_{5_1}(x_1)) = x_1 103.86/27.24 POL(2_{2_1}(x_1)) = x_1 103.86/27.24 POL(2_{3_1}(x_1)) = x_1 103.86/27.24 POL(2_{4_1}(x_1)) = x_1 103.86/27.24 POL(3_{2_1}(x_1)) = x_1 103.86/27.24 POL(3_{3_1}(x_1)) = 1 + x_1 103.86/27.24 POL(3_{5_1}(x_1)) = x_1 103.86/27.24 POL(4_{1_1}(x_1)) = x_1 103.86/27.24 POL(4_{3_1}(x_1)) = 1 + x_1 103.86/27.24 POL(4_{4_1}(x_1)) = x_1 103.86/27.24 POL(5_{0_1}(x_1)) = x_1 103.86/27.24 POL(5_{1_1}(x_1)) = x_1 103.86/27.24 POL(5_{2_1}(x_1)) = x_1 103.86/27.24 POL(5_{3_1}(x_1)) = x_1 103.86/27.24 POL(5_{4_1}(x_1)) = x_1 103.86/27.24 POL(5_{5_1}(x_1)) = x_1 103.86/27.24 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 103.86/27.24 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 2_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 2_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 103.86/27.24 103.86/27.24 103.86/27.24 103.86/27.24 ---------------------------------------- 103.86/27.24 103.86/27.24 (34) 103.86/27.24 Obligation: 103.86/27.24 Q restricted rewrite system: 103.86/27.24 The TRS R consists of the following rules: 103.86/27.24 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 103.86/27.24 Q is empty. 103.86/27.24 103.86/27.24 ---------------------------------------- 103.86/27.24 103.86/27.24 (35) QTRSRRRProof (EQUIVALENT) 103.86/27.24 Used ordering: 103.86/27.24 Polynomial interpretation [POLO]: 103.86/27.24 103.86/27.24 POL(0_{2_1}(x_1)) = x_1 103.86/27.24 POL(0_{3_1}(x_1)) = 1 + x_1 103.86/27.24 POL(1_{5_1}(x_1)) = x_1 103.86/27.24 POL(2_{3_1}(x_1)) = x_1 103.86/27.24 POL(2_{4_1}(x_1)) = x_1 103.86/27.24 POL(3_{2_1}(x_1)) = x_1 103.86/27.24 POL(3_{3_1}(x_1)) = x_1 103.86/27.24 POL(3_{5_1}(x_1)) = x_1 103.86/27.24 POL(4_{1_1}(x_1)) = x_1 103.86/27.24 POL(4_{3_1}(x_1)) = x_1 103.86/27.24 POL(4_{4_1}(x_1)) = x_1 103.86/27.24 POL(5_{0_1}(x_1)) = x_1 103.86/27.24 POL(5_{1_1}(x_1)) = x_1 103.86/27.24 POL(5_{2_1}(x_1)) = x_1 103.86/27.24 POL(5_{3_1}(x_1)) = x_1 103.86/27.24 POL(5_{4_1}(x_1)) = x_1 103.86/27.24 POL(5_{5_1}(x_1)) = x_1 103.86/27.24 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 103.86/27.24 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{1_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{0_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{3_1}(x1))))))))))) 103.86/27.24 0_{3_1}(3_{3_1}(3_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1)))))))) -> 0_{2_1}(2_{3_1}(3_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(3_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{5_1}(x1))))))))))) 103.86/27.24 103.86/27.24 103.86/27.24 103.86/27.24 103.86/27.24 ---------------------------------------- 103.86/27.24 103.86/27.24 (36) 103.86/27.24 Obligation: 103.86/27.24 Q restricted rewrite system: 103.86/27.24 R is empty. 103.86/27.24 Q is empty. 103.86/27.24 103.86/27.24 ---------------------------------------- 103.86/27.24 103.86/27.24 (37) RisEmptyProof (EQUIVALENT) 103.86/27.24 The TRS R is empty. Hence, termination is trivially proven. 103.86/27.24 ---------------------------------------- 103.86/27.24 103.86/27.24 (38) 103.86/27.24 YES 104.04/27.35 EOF