9.98/3.49 YES 10.41/3.65 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 10.41/3.65 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 10.41/3.65 10.41/3.65 10.41/3.65 Termination w.r.t. Q of the given QTRS could be proven: 10.41/3.65 10.41/3.65 (0) QTRS 10.41/3.65 (1) QTRS Reverse [EQUIVALENT, 0 ms] 10.41/3.65 (2) QTRS 10.41/3.65 (3) FlatCCProof [EQUIVALENT, 1 ms] 10.41/3.65 (4) QTRS 10.41/3.65 (5) RootLabelingProof [EQUIVALENT, 0 ms] 10.41/3.65 (6) QTRS 10.41/3.65 (7) QTRSRRRProof [EQUIVALENT, 166 ms] 10.41/3.65 (8) QTRS 10.41/3.65 (9) QTRSRRRProof [EQUIVALENT, 15 ms] 10.41/3.65 (10) QTRS 10.41/3.65 (11) QTRSRRRProof [EQUIVALENT, 3 ms] 10.41/3.65 (12) QTRS 10.41/3.65 (13) QTRSRRRProof [EQUIVALENT, 3 ms] 10.41/3.65 (14) QTRS 10.41/3.65 (15) RisEmptyProof [EQUIVALENT, 3 ms] 10.41/3.65 (16) YES 10.41/3.65 10.41/3.65 10.41/3.65 ---------------------------------------- 10.41/3.65 10.41/3.65 (0) 10.41/3.65 Obligation: 10.41/3.65 Q restricted rewrite system: 10.41/3.65 The TRS R consists of the following rules: 10.41/3.65 10.41/3.65 0(0(0(1(0(2(0(2(1(2(0(2(2(x1))))))))))))) -> 0(0(1(0(1(1(0(2(1(0(0(0(1(0(1(1(0(x1))))))))))))))))) 10.41/3.65 0(0(0(1(1(2(1(2(1(1(0(0(0(x1))))))))))))) -> 1(0(0(2(2(2(2(1(1(2(0(2(0(0(2(1(0(x1))))))))))))))))) 10.41/3.65 0(1(0(1(0(0(1(0(0(2(1(2(0(x1))))))))))))) -> 0(1(0(2(0(0(2(1(0(0(0(0(0(1(0(0(0(x1))))))))))))))))) 10.41/3.65 0(1(2(0(2(0(1(1(1(1(0(0(2(x1))))))))))))) -> 0(0(0(0(0(2(0(2(2(0(2(2(2(0(0(0(0(x1))))))))))))))))) 10.41/3.65 0(1(2(1(1(0(0(2(2(1(0(2(2(x1))))))))))))) -> 1(0(0(2(1(0(0(2(0(0(0(2(0(2(2(2(2(x1))))))))))))))))) 10.41/3.65 0(1(2(2(0(0(2(0(0(0(2(0(2(x1))))))))))))) -> 2(1(0(0(0(2(1(1(0(2(0(1(0(2(1(0(2(x1))))))))))))))))) 10.41/3.65 0(2(0(1(0(1(1(0(1(2(0(0(1(x1))))))))))))) -> 0(1(1(0(0(0(2(1(1(1(0(2(0(0(2(0(1(x1))))))))))))))))) 10.41/3.65 1(0(0(1(0(2(2(0(0(1(2(0(0(x1))))))))))))) -> 0(0(0(0(0(1(0(1(0(1(1(0(1(0(0(2(0(x1))))))))))))))))) 10.41/3.65 1(0(1(1(1(2(2(2(2(1(0(0(0(x1))))))))))))) -> 2(1(0(0(1(0(1(0(2(2(1(1(0(0(2(2(2(x1))))))))))))))))) 10.41/3.65 1(1(0(0(1(0(0(0(0(1(1(1(2(x1))))))))))))) -> 1(1(0(2(1(0(0(2(1(0(1(0(0(2(0(1(2(x1))))))))))))))))) 10.41/3.65 1(1(2(0(1(0(2(1(2(0(1(0(2(x1))))))))))))) -> 1(1(2(1(0(1(0(2(1(1(1(0(1(0(2(0(2(x1))))))))))))))))) 10.41/3.65 1(1(2(2(1(1(2(1(0(0(1(0(2(x1))))))))))))) -> 0(0(2(0(2(0(0(0(2(0(0(2(0(0(2(2(2(x1))))))))))))))))) 10.41/3.65 2(0(0(0(1(1(2(1(0(2(2(0(0(x1))))))))))))) -> 1(1(0(2(0(1(0(2(2(1(1(1(0(2(2(0(0(x1))))))))))))))))) 10.41/3.65 2(0(0(1(1(2(2(1(0(2(2(2(2(x1))))))))))))) -> 1(0(2(2(1(0(1(2(1(0(1(0(0(2(0(2(0(x1))))))))))))))))) 10.41/3.65 2(0(0(2(1(2(1(1(0(1(0(0(2(x1))))))))))))) -> 2(1(1(1(1(0(2(0(1(0(1(0(2(1(0(0(2(x1))))))))))))))))) 10.41/3.65 2(1(1(2(2(0(2(1(0(0(0(1(0(x1))))))))))))) -> 1(1(2(0(0(2(0(0(1(0(0(2(0(0(0(1(0(x1))))))))))))))))) 10.41/3.65 2(1(2(1(1(2(1(0(0(1(0(1(0(x1))))))))))))) -> 2(2(1(1(1(0(0(0(0(1(0(0(2(2(0(1(0(x1))))))))))))))))) 10.41/3.65 2(1(2(2(0(2(1(0(2(0(2(1(0(x1))))))))))))) -> 1(0(1(2(0(0(2(0(0(2(1(0(2(1(0(0(0(x1))))))))))))))))) 10.41/3.65 2(2(0(1(1(1(1(0(1(0(1(2(0(x1))))))))))))) -> 0(1(1(0(1(1(0(0(2(2(0(1(1(0(1(0(0(x1))))))))))))))))) 10.41/3.65 10.41/3.65 Q is empty. 10.41/3.65 10.41/3.65 ---------------------------------------- 10.41/3.65 10.41/3.65 (1) QTRS Reverse (EQUIVALENT) 10.41/3.65 We applied the QTRS Reverse Processor [REVERSE]. 10.41/3.65 ---------------------------------------- 10.41/3.65 10.41/3.65 (2) 10.41/3.65 Obligation: 10.41/3.65 Q restricted rewrite system: 10.41/3.65 The TRS R consists of the following rules: 10.41/3.65 10.41/3.65 2(2(0(2(1(2(0(2(0(1(0(0(0(x1))))))))))))) -> 0(1(1(0(1(0(0(0(1(2(0(1(1(0(1(0(0(x1))))))))))))))))) 10.41/3.65 0(0(0(1(1(2(1(2(1(1(0(0(0(x1))))))))))))) -> 0(1(2(0(0(2(0(2(1(1(2(2(2(2(0(0(1(x1))))))))))))))))) 10.41/3.65 0(2(1(2(0(0(1(0(0(1(0(1(0(x1))))))))))))) -> 0(0(0(1(0(0(0(0(0(1(2(0(0(2(0(1(0(x1))))))))))))))))) 10.41/3.65 2(0(0(1(1(1(1(0(2(0(2(1(0(x1))))))))))))) -> 0(0(0(0(2(2(2(0(2(2(0(2(0(0(0(0(0(x1))))))))))))))))) 10.41/3.65 2(2(0(1(2(2(0(0(1(1(2(1(0(x1))))))))))))) -> 2(2(2(2(0(2(0(0(0(2(0(0(1(2(0(0(1(x1))))))))))))))))) 10.41/3.65 2(0(2(0(0(0(2(0(0(2(2(1(0(x1))))))))))))) -> 2(0(1(2(0(1(0(2(0(1(1(2(0(0(0(1(2(x1))))))))))))))))) 10.41/3.65 1(0(0(2(1(0(1(1(0(1(0(2(0(x1))))))))))))) -> 1(0(2(0(0(2(0(1(1(1(2(0(0(0(1(1(0(x1))))))))))))))))) 10.41/3.65 0(0(2(1(0(0(2(2(0(1(0(0(1(x1))))))))))))) -> 0(2(0(0(1(0(1(1(0(1(0(1(0(0(0(0(0(x1))))))))))))))))) 10.41/3.65 0(0(0(1(2(2(2(2(1(1(1(0(1(x1))))))))))))) -> 2(2(2(0(0(1(1(2(2(0(1(0(1(0(0(1(2(x1))))))))))))))))) 10.41/3.65 2(1(1(1(0(0(0(0(1(0(0(1(1(x1))))))))))))) -> 2(1(0(2(0(0(1(0(1(2(0(0(1(2(0(1(1(x1))))))))))))))))) 10.41/3.65 2(0(1(0(2(1(2(0(1(0(2(1(1(x1))))))))))))) -> 2(0(2(0(1(0(1(1(1(2(0(1(0(1(2(1(1(x1))))))))))))))))) 10.41/3.65 2(0(1(0(0(1(2(1(1(2(2(1(1(x1))))))))))))) -> 2(2(2(0(0(2(0(0(2(0(0(0(2(0(2(0(0(x1))))))))))))))))) 10.41/3.65 0(0(2(2(0(1(2(1(1(0(0(0(2(x1))))))))))))) -> 0(0(2(2(0(1(1(1(2(2(0(1(0(2(0(1(1(x1))))))))))))))))) 10.41/3.65 2(2(2(2(0(1(2(2(1(1(0(0(2(x1))))))))))))) -> 0(2(0(2(0(0(1(0(1(2(1(0(1(2(2(0(1(x1))))))))))))))))) 10.41/3.65 2(0(0(1(0(1(1(2(1(2(0(0(2(x1))))))))))))) -> 2(0(0(1(2(0(1(0(1(0(2(0(1(1(1(1(2(x1))))))))))))))))) 10.41/3.65 0(1(0(0(0(1(2(0(2(2(1(1(2(x1))))))))))))) -> 0(1(0(0(0(2(0(0(1(0(0(2(0(0(2(1(1(x1))))))))))))))))) 10.41/3.65 0(1(0(1(0(0(1(2(1(1(2(1(2(x1))))))))))))) -> 0(1(0(2(2(0(0(1(0(0(0(0(1(1(1(2(2(x1))))))))))))))))) 10.41/3.65 0(1(2(0(2(0(1(2(0(2(2(1(2(x1))))))))))))) -> 0(0(0(1(2(0(1(2(0(0(2(0(0(2(1(0(1(x1))))))))))))))))) 10.41/3.65 0(2(1(0(1(0(1(1(1(1(0(2(2(x1))))))))))))) -> 0(0(1(0(1(1(0(2(2(0(0(1(1(0(1(1(0(x1))))))))))))))))) 10.41/3.65 10.41/3.65 Q is empty. 10.41/3.65 10.41/3.65 ---------------------------------------- 10.41/3.65 10.41/3.65 (3) FlatCCProof (EQUIVALENT) 10.41/3.65 We used flat context closure [ROOTLAB] 10.41/3.65 As Q is empty the flat context closure was sound AND complete. 10.41/3.65 10.41/3.65 ---------------------------------------- 10.41/3.65 10.41/3.65 (4) 10.41/3.65 Obligation: 10.41/3.65 Q restricted rewrite system: 10.41/3.65 The TRS R consists of the following rules: 10.41/3.65 10.41/3.65 0(0(0(1(1(2(1(2(1(1(0(0(0(x1))))))))))))) -> 0(1(2(0(0(2(0(2(1(1(2(2(2(2(0(0(1(x1))))))))))))))))) 10.41/3.65 0(2(1(2(0(0(1(0(0(1(0(1(0(x1))))))))))))) -> 0(0(0(1(0(0(0(0(0(1(2(0(0(2(0(1(0(x1))))))))))))))))) 10.41/3.65 2(2(0(1(2(2(0(0(1(1(2(1(0(x1))))))))))))) -> 2(2(2(2(0(2(0(0(0(2(0(0(1(2(0(0(1(x1))))))))))))))))) 10.41/3.65 2(0(2(0(0(0(2(0(0(2(2(1(0(x1))))))))))))) -> 2(0(1(2(0(1(0(2(0(1(1(2(0(0(0(1(2(x1))))))))))))))))) 10.41/3.65 1(0(0(2(1(0(1(1(0(1(0(2(0(x1))))))))))))) -> 1(0(2(0(0(2(0(1(1(1(2(0(0(0(1(1(0(x1))))))))))))))))) 10.41/3.65 0(0(2(1(0(0(2(2(0(1(0(0(1(x1))))))))))))) -> 0(2(0(0(1(0(1(1(0(1(0(1(0(0(0(0(0(x1))))))))))))))))) 10.41/3.65 2(1(1(1(0(0(0(0(1(0(0(1(1(x1))))))))))))) -> 2(1(0(2(0(0(1(0(1(2(0(0(1(2(0(1(1(x1))))))))))))))))) 10.41/3.65 2(0(1(0(2(1(2(0(1(0(2(1(1(x1))))))))))))) -> 2(0(2(0(1(0(1(1(1(2(0(1(0(1(2(1(1(x1))))))))))))))))) 10.41/3.65 2(0(1(0(0(1(2(1(1(2(2(1(1(x1))))))))))))) -> 2(2(2(0(0(2(0(0(2(0(0(0(2(0(2(0(0(x1))))))))))))))))) 10.41/3.65 0(0(2(2(0(1(2(1(1(0(0(0(2(x1))))))))))))) -> 0(0(2(2(0(1(1(1(2(2(0(1(0(2(0(1(1(x1))))))))))))))))) 10.41/3.65 2(0(0(1(0(1(1(2(1(2(0(0(2(x1))))))))))))) -> 2(0(0(1(2(0(1(0(1(0(2(0(1(1(1(1(2(x1))))))))))))))))) 10.41/3.65 0(1(0(0(0(1(2(0(2(2(1(1(2(x1))))))))))))) -> 0(1(0(0(0(2(0(0(1(0(0(2(0(0(2(1(1(x1))))))))))))))))) 10.41/3.65 0(1(0(1(0(0(1(2(1(1(2(1(2(x1))))))))))))) -> 0(1(0(2(2(0(0(1(0(0(0(0(1(1(1(2(2(x1))))))))))))))))) 10.41/3.65 0(1(2(0(2(0(1(2(0(2(2(1(2(x1))))))))))))) -> 0(0(0(1(2(0(1(2(0(0(2(0(0(2(1(0(1(x1))))))))))))))))) 10.41/3.65 0(2(1(0(1(0(1(1(1(1(0(2(2(x1))))))))))))) -> 0(0(1(0(1(1(0(2(2(0(0(1(1(0(1(1(0(x1))))))))))))))))) 10.41/3.65 2(2(2(0(2(1(2(0(2(0(1(0(0(0(x1)))))))))))))) -> 2(0(1(1(0(1(0(0(0(1(2(0(1(1(0(1(0(0(x1)))))))))))))))))) 10.41/3.65 0(2(2(0(2(1(2(0(2(0(1(0(0(0(x1)))))))))))))) -> 0(0(1(1(0(1(0(0(0(1(2(0(1(1(0(1(0(0(x1)))))))))))))))))) 10.41/3.65 1(2(2(0(2(1(2(0(2(0(1(0(0(0(x1)))))))))))))) -> 1(0(1(1(0(1(0(0(0(1(2(0(1(1(0(1(0(0(x1)))))))))))))))))) 10.41/3.65 2(2(0(0(1(1(1(1(0(2(0(2(1(0(x1)))))))))))))) -> 2(0(0(0(0(2(2(2(0(2(2(0(2(0(0(0(0(0(x1)))))))))))))))))) 10.41/3.65 0(2(0(0(1(1(1(1(0(2(0(2(1(0(x1)))))))))))))) -> 0(0(0(0(0(2(2(2(0(2(2(0(2(0(0(0(0(0(x1)))))))))))))))))) 10.41/3.65 1(2(0(0(1(1(1(1(0(2(0(2(1(0(x1)))))))))))))) -> 1(0(0(0(0(2(2(2(0(2(2(0(2(0(0(0(0(0(x1)))))))))))))))))) 10.41/3.65 2(0(0(0(1(2(2(2(2(1(1(1(0(1(x1)))))))))))))) -> 2(2(2(2(0(0(1(1(2(2(0(1(0(1(0(0(1(2(x1)))))))))))))))))) 10.41/3.65 0(0(0(0(1(2(2(2(2(1(1(1(0(1(x1)))))))))))))) -> 0(2(2(2(0(0(1(1(2(2(0(1(0(1(0(0(1(2(x1)))))))))))))))))) 10.41/3.65 1(0(0(0(1(2(2(2(2(1(1(1(0(1(x1)))))))))))))) -> 1(2(2(2(0(0(1(1(2(2(0(1(0(1(0(0(1(2(x1)))))))))))))))))) 10.41/3.65 2(2(2(2(2(0(1(2(2(1(1(0(0(2(x1)))))))))))))) -> 2(0(2(0(2(0(0(1(0(1(2(1(0(1(2(2(0(1(x1)))))))))))))))))) 10.41/3.65 0(2(2(2(2(0(1(2(2(1(1(0(0(2(x1)))))))))))))) -> 0(0(2(0(2(0(0(1(0(1(2(1(0(1(2(2(0(1(x1)))))))))))))))))) 10.41/3.65 1(2(2(2(2(0(1(2(2(1(1(0(0(2(x1)))))))))))))) -> 1(0(2(0(2(0(0(1(0(1(2(1(0(1(2(2(0(1(x1)))))))))))))))))) 10.41/3.65 10.41/3.65 Q is empty. 10.41/3.65 10.41/3.65 ---------------------------------------- 10.41/3.65 10.41/3.65 (5) RootLabelingProof (EQUIVALENT) 10.41/3.65 We used plain root labeling [ROOTLAB] with the following heuristic: 10.41/3.65 LabelAll: All function symbols get labeled 10.41/3.65 10.41/3.65 As Q is empty the root labeling was sound AND complete. 10.41/3.65 10.41/3.65 ---------------------------------------- 10.41/3.65 10.41/3.65 (6) 10.41/3.65 Obligation: 10.41/3.65 Q restricted rewrite system: 10.41/3.65 The TRS R consists of the following rules: 10.41/3.65 10.41/3.65 0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))) -> 0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x1))))))))))))))))) 10.41/3.65 0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))) -> 0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x1))))))))))))))))) 10.41/3.65 0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))) -> 0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x1))))))))))))))))) 10.41/3.65 0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x1))))))))))))) -> 0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x1))))))))))))))))) 10.41/3.65 0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x1))))))))))))) -> 0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x1))))))))))))))))) 10.41/3.65 0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x1))))))))))))) -> 0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x1))))))))))))))))) 10.41/3.65 2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))))))))))) -> 2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x1))))))))))))))))) 10.41/3.65 2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))))))))))) -> 2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x1))))))))))))))))) 10.41/3.65 2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))))))))))) -> 2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x1))))))))))))))))) 10.41/3.65 2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))))))))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x1))))))))))))))))) 10.41/3.65 2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))))))))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x1))))))))))))))))) 10.41/3.65 2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))))))))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x1))))))))))))))))) 10.41/3.65 1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1))))))))))))) -> 1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x1))))))))))))))))) 10.41/3.65 1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1))))))))))))) -> 1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x1))))))))))))))))) 10.41/3.65 1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1))))))))))))) -> 1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x1))))))))))))))))) 10.41/3.65 0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x1))))))))))))) -> 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) 10.41/3.65 0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x1))))))))))))) -> 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) 10.41/3.65 0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x1))))))))))))) -> 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) 10.41/3.65 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(x1))))))))))))) -> 2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(x1))))))))))))))))) 10.41/3.65 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(x1))))))))))))) -> 2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(x1))))))))))))))))) 10.41/3.65 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(x1))))))))))))) -> 2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(x1))))))))))))))))) 10.41/3.65 2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1))))))))))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1))))))))))))))))) 10.41/3.66 2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1))))))))))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1))))))))))))))))) 10.41/3.66 2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1))))))))))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1))))))))))))))))) 10.41/3.66 2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1))))))))))))) -> 2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) 10.41/3.66 2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1))))))))))))) -> 2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) 10.41/3.66 2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1))))))))))))) -> 2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) 10.41/3.66 0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x1))))))))))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(x1))))))))))))))))) 10.41/3.66 0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x1))))))))))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(x1))))))))))))))))) 10.41/3.66 0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1))))))))))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(x1))))))))))))))))) 10.41/3.66 2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x1))))))))))))) -> 2_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(x1))))))))))))))))) 10.41/3.66 2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x1))))))))))))) -> 2_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(x1))))))))))))))))) 10.41/3.66 2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1))))))))))))) -> 2_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(x1))))))))))))))))) 10.41/3.66 0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(x1))))))))))))) -> 0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1))))))))))))))))) 10.41/3.66 0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(x1))))))))))))) -> 0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1))))))))))))))))) 10.41/3.66 0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(x1))))))))))))) -> 0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1))))))))))))))))) 10.41/3.66 0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1))))))))))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(x1))))))))))))))))) 10.41/3.66 0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x1))))))))))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(x1))))))))))))))))) 10.41/3.66 0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1))))))))))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(x1))))))))))))))))) 10.41/3.66 0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1))))))))))))) -> 0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1))))))))))))))))) 10.41/3.66 0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x1))))))))))))) -> 0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1))))))))))))))))) 10.41/3.66 0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1))))))))))))) -> 0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1))))))))))))))))) 10.41/3.66 0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(x1))))))))))))) -> 0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x1))))))))))))))))) 10.41/3.66 0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(x1))))))))))))) -> 0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x1))))))))))))))))) 10.41/3.66 0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(x1))))))))))))) -> 0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x1))))))))))))))))) 10.41/3.66 2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))))))))) -> 2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1)))))))))))))))))) 10.41/3.66 2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))))))))) -> 2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1)))))))))))))))))) 10.41/3.66 2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))))))))) -> 2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1)))))))))))))))))) 10.41/3.66 0_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))))))))) -> 0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1)))))))))))))))))) 10.41/3.66 0_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))))))))) -> 0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1)))))))))))))))))) 10.41/3.66 0_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))))))))) -> 0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1)))))))))))))))))) 10.41/3.66 1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))))))))) -> 1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1)))))))))))))))))) 10.41/3.66 1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))))))))) -> 1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1)))))))))))))))))) 10.41/3.66 1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))))))))) -> 1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1)))))))))))))))))) 10.41/3.66 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))))))))))))) -> 2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))))))))))))) 10.41/3.66 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))))))))))))) -> 2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))))))))))))) 10.41/3.66 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))))))))))))) -> 2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))))))))))))) 10.41/3.66 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))))))))))))) -> 0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))))))))))))) 10.41/3.66 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))))))))))))) -> 0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))))))))))))) 10.41/3.66 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))))))))))))) -> 0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))))))))))))) 10.41/3.66 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))))))))))))) -> 1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))))))))))))) 10.41/3.66 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))))))))))))) -> 1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))))))))))))) 10.41/3.66 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))))))))))))) -> 1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))))))))))))) 10.41/3.66 2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1)))))))))))))) -> 2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x1)))))))))))))))))) 10.41/3.66 2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1)))))))))))))) -> 2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x1)))))))))))))))))) 10.41/3.66 2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1)))))))))))))) -> 2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x1)))))))))))))))))) 10.41/3.66 0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1)))))))))))))) -> 0_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x1)))))))))))))))))) 10.41/3.66 0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1)))))))))))))) -> 0_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x1)))))))))))))))))) 10.41/3.66 0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1)))))))))))))) -> 0_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x1)))))))))))))))))) 10.41/3.66 1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1)))))))))))))) -> 1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x1)))))))))))))))))) 10.41/3.66 1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1)))))))))))))) -> 1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x1)))))))))))))))))) 10.41/3.66 1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1)))))))))))))) -> 1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x1)))))))))))))))))) 10.41/3.66 2_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x1)))))))))))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1)))))))))))))))))) 10.41/3.66 2_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x1)))))))))))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1)))))))))))))))))) 10.41/3.66 2_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1)))))))))))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1)))))))))))))))))) 10.41/3.66 0_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x1)))))))))))))) -> 0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1)))))))))))))))))) 10.41/3.66 0_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x1)))))))))))))) -> 0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1)))))))))))))))))) 10.41/3.66 0_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1)))))))))))))) -> 0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1)))))))))))))))))) 10.41/3.66 1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x1)))))))))))))) -> 1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1)))))))))))))))))) 10.41/3.66 1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x1)))))))))))))) -> 1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1)))))))))))))))))) 10.41/3.66 1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1)))))))))))))) -> 1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1)))))))))))))))))) 10.41/3.66 10.41/3.66 Q is empty. 10.41/3.66 10.41/3.66 ---------------------------------------- 10.41/3.66 10.41/3.66 (7) QTRSRRRProof (EQUIVALENT) 10.41/3.66 Used ordering: 10.41/3.66 Polynomial interpretation [POLO]: 10.41/3.66 10.41/3.66 POL(0_{0_1}(x_1)) = x_1 10.41/3.66 POL(0_{1_1}(x_1)) = x_1 10.41/3.66 POL(0_{2_1}(x_1)) = x_1 10.41/3.66 POL(1_{0_1}(x_1)) = x_1 10.41/3.66 POL(1_{1_1}(x_1)) = x_1 10.41/3.66 POL(1_{2_1}(x_1)) = x_1 10.41/3.66 POL(2_{0_1}(x_1)) = x_1 10.41/3.66 POL(2_{1_1}(x_1)) = 1 + x_1 10.41/3.66 POL(2_{2_1}(x_1)) = x_1 10.41/3.66 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 10.41/3.66 10.41/3.66 0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))) -> 0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x1))))))))))))))))) 10.41/3.66 0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))) -> 0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x1))))))))))))))))) 10.41/3.66 0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))) -> 0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x1))))))))))))))))) 10.41/3.66 0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x1))))))))))))) -> 0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(x1))))))))))))))))) 10.41/3.66 0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x1))))))))))))) -> 0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(x1))))))))))))))))) 10.41/3.66 0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x1))))))))))))) -> 0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(x1))))))))))))))))) 10.41/3.66 2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))))))))))) -> 2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x1))))))))))))))))) 10.41/3.66 2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))))))))))) -> 2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x1))))))))))))))))) 10.41/3.66 2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))))))))))) -> 2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x1))))))))))))))))) 10.41/3.66 2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1))))))))))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x1))))))))))))))))) 10.41/3.66 2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1))))))))))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x1))))))))))))))))) 10.41/3.66 1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1))))))))))))) -> 1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x1))))))))))))))))) 10.41/3.66 1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1))))))))))))) -> 1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x1))))))))))))))))) 10.41/3.66 1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1))))))))))))) -> 1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x1))))))))))))))))) 10.41/3.66 0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(x1))))))))))))) -> 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) 10.41/3.66 0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(x1))))))))))))) -> 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) 10.41/3.66 0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(x1))))))))))))) -> 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) 10.41/3.66 2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1))))))))))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1))))))))))))))))) 10.41/3.66 2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1))))))))))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1))))))))))))))))) 10.41/3.66 2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1))))))))))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1))))))))))))))))) 10.41/3.66 2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1))))))))))))) -> 2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) 10.41/3.66 2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1))))))))))))) -> 2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) 10.41/3.66 2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1))))))))))))) -> 2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) 10.41/3.66 0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x1))))))))))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(x1))))))))))))))))) 10.41/3.66 0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x1))))))))))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(x1))))))))))))))))) 10.41/3.66 0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1))))))))))))) -> 0_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(x1))))))))))))))))) 10.41/3.66 2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x1))))))))))))) -> 2_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(x1))))))))))))))))) 10.41/3.66 2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x1))))))))))))) -> 2_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(x1))))))))))))))))) 10.41/3.66 2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1))))))))))))) -> 2_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(x1))))))))))))))))) 10.41/3.66 0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(x1))))))))))))) -> 0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(x1))))))))))))))))) 10.41/3.66 0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1))))))))))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(x1))))))))))))))))) 10.41/3.66 0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x1))))))))))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(x1))))))))))))))))) 10.41/3.66 0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1))))))))))))) -> 0_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(x1))))))))))))))))) 10.41/3.66 0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{1_1}(x1))))))))))))) -> 0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1))))))))))))))))) 10.41/3.66 0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(x1))))))))))))) -> 0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x1))))))))))))))))) 10.41/3.66 0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(x1))))))))))))) -> 0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x1))))))))))))))))) 10.41/3.66 0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(x1))))))))))))) -> 0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x1))))))))))))))))) 10.41/3.66 2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))))))))) -> 2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1)))))))))))))))))) 10.41/3.66 2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))))))))) -> 2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1)))))))))))))))))) 10.41/3.66 2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))))))))) -> 2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1)))))))))))))))))) 10.41/3.66 0_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))))))))) -> 0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1)))))))))))))))))) 10.41/3.66 0_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))))))))) -> 0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1)))))))))))))))))) 10.41/3.66 0_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))))))))) -> 0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1)))))))))))))))))) 10.41/3.66 1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))))))))) -> 1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(x1)))))))))))))))))) 10.41/3.66 1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))))))))) -> 1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(x1)))))))))))))))))) 10.41/3.66 1_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))))))))) -> 1_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(x1)))))))))))))))))) 10.41/3.66 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))))))))))))) -> 2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))))))))))))) 10.41/3.66 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))))))))))))) -> 2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))))))))))))) 10.41/3.66 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))))))))))))) -> 2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))))))))))))) 10.41/3.66 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))))))))))))) -> 0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))))))))))))) 10.41/3.66 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))))))))))))) -> 0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))))))))))))) 10.41/3.66 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))))))))))))) -> 0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))))))))))))) 10.41/3.66 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))))))))))))) -> 1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))))))))))))) 10.41/3.66 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))))))))))))) -> 1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))))))))))))) 10.41/3.66 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))))))))))))) -> 1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))))))))))))) 10.41/3.66 2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1)))))))))))))) -> 2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x1)))))))))))))))))) 10.41/3.66 2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1)))))))))))))) -> 2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x1)))))))))))))))))) 10.41/3.66 0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1)))))))))))))) -> 0_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x1)))))))))))))))))) 10.41/3.66 0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1)))))))))))))) -> 0_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x1)))))))))))))))))) 10.41/3.66 1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1)))))))))))))) -> 1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(x1)))))))))))))))))) 10.41/3.66 1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1)))))))))))))) -> 1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(x1)))))))))))))))))) 10.41/3.66 2_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x1)))))))))))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1)))))))))))))))))) 10.41/3.66 0_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x1)))))))))))))) -> 0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1)))))))))))))))))) 10.41/3.66 1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(x1)))))))))))))) -> 1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(x1)))))))))))))))))) 10.41/3.66 10.41/3.66 10.41/3.66 10.41/3.66 10.41/3.66 ---------------------------------------- 10.41/3.66 10.41/3.66 (8) 10.41/3.66 Obligation: 10.41/3.66 Q restricted rewrite system: 10.41/3.66 The TRS R consists of the following rules: 10.41/3.66 10.41/3.66 2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))))))))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x1))))))))))))))))) 10.41/3.66 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(x1))))))))))))) -> 2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(x1))))))))))))))))) 10.41/3.66 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(x1))))))))))))) -> 2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(x1))))))))))))))))) 10.41/3.66 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(x1))))))))))))) -> 2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(x1))))))))))))))))) 10.41/3.66 0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(x1))))))))))))) -> 0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1))))))))))))))))) 10.41/3.66 0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(x1))))))))))))) -> 0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1))))))))))))))))) 10.41/3.66 0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1))))))))))))) -> 0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1))))))))))))))))) 10.41/3.66 0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1))))))))))))) -> 0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1))))))))))))))))) 10.41/3.66 2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1)))))))))))))) -> 2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x1)))))))))))))))))) 10.41/3.66 0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1)))))))))))))) -> 0_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x1)))))))))))))))))) 10.41/3.66 1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1)))))))))))))) -> 1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x1)))))))))))))))))) 10.41/3.66 2_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x1)))))))))))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1)))))))))))))))))) 10.41/3.66 2_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1)))))))))))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1)))))))))))))))))) 10.41/3.66 0_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x1)))))))))))))) -> 0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1)))))))))))))))))) 10.41/3.66 0_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1)))))))))))))) -> 0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1)))))))))))))))))) 10.41/3.66 1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x1)))))))))))))) -> 1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1)))))))))))))))))) 10.41/3.66 1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1)))))))))))))) -> 1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1)))))))))))))))))) 10.41/3.66 10.41/3.66 Q is empty. 10.41/3.66 10.41/3.66 ---------------------------------------- 10.41/3.66 10.41/3.66 (9) QTRSRRRProof (EQUIVALENT) 10.41/3.66 Used ordering: 10.41/3.66 Polynomial interpretation [POLO]: 10.41/3.66 10.41/3.66 POL(0_{0_1}(x_1)) = x_1 10.41/3.66 POL(0_{1_1}(x_1)) = x_1 10.41/3.66 POL(0_{2_1}(x_1)) = 1 + x_1 10.41/3.66 POL(1_{0_1}(x_1)) = 1 + x_1 10.41/3.66 POL(1_{1_1}(x_1)) = 5 + x_1 10.41/3.66 POL(1_{2_1}(x_1)) = x_1 10.41/3.66 POL(2_{0_1}(x_1)) = 3 + x_1 10.41/3.66 POL(2_{1_1}(x_1)) = x_1 10.41/3.66 POL(2_{2_1}(x_1)) = 6 + x_1 10.41/3.66 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 10.41/3.66 10.41/3.66 0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(x1))))))))))))) -> 0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(x1))))))))))))))))) 10.41/3.66 0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(x1))))))))))))) -> 0_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(1_{2_1}(x1))))))))))))))))) 10.41/3.66 0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(x1))))))))))))) -> 0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(x1))))))))))))))))) 10.41/3.66 0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{2_1}(2_{2_1}(x1))))))))))))) -> 0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(x1))))))))))))))))) 10.41/3.66 0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1)))))))))))))) -> 0_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x1)))))))))))))))))) 10.41/3.66 1_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1)))))))))))))) -> 1_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x1)))))))))))))))))) 10.41/3.66 2_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x1)))))))))))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1)))))))))))))))))) 10.41/3.66 2_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1)))))))))))))) -> 2_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1)))))))))))))))))) 10.41/3.66 0_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x1)))))))))))))) -> 0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1)))))))))))))))))) 10.41/3.66 0_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1)))))))))))))) -> 0_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1)))))))))))))))))) 10.41/3.66 1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(x1)))))))))))))) -> 1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(x1)))))))))))))))))) 10.41/3.66 1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(x1)))))))))))))) -> 1_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{2_1}(x1)))))))))))))))))) 10.41/3.66 10.41/3.66 10.41/3.66 10.41/3.66 10.41/3.66 ---------------------------------------- 10.41/3.66 10.41/3.66 (10) 10.41/3.66 Obligation: 10.41/3.66 Q restricted rewrite system: 10.41/3.66 The TRS R consists of the following rules: 10.41/3.66 10.41/3.66 2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))))))))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x1))))))))))))))))) 10.41/3.66 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(x1))))))))))))) -> 2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(x1))))))))))))))))) 10.41/3.66 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(x1))))))))))))) -> 2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(x1))))))))))))))))) 10.41/3.66 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(x1))))))))))))) -> 2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(x1))))))))))))))))) 10.41/3.66 2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1)))))))))))))) -> 2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x1)))))))))))))))))) 10.41/3.66 10.41/3.66 Q is empty. 10.41/3.66 10.41/3.66 ---------------------------------------- 10.41/3.66 10.41/3.66 (11) QTRSRRRProof (EQUIVALENT) 10.41/3.66 Used ordering: 10.41/3.66 Polynomial interpretation [POLO]: 10.41/3.66 10.41/3.66 POL(0_{0_1}(x_1)) = x_1 10.41/3.66 POL(0_{1_1}(x_1)) = x_1 10.41/3.66 POL(0_{2_1}(x_1)) = 2 + x_1 10.41/3.66 POL(1_{0_1}(x_1)) = x_1 10.41/3.66 POL(1_{1_1}(x_1)) = 1 + x_1 10.41/3.66 POL(1_{2_1}(x_1)) = x_1 10.41/3.66 POL(2_{0_1}(x_1)) = x_1 10.41/3.66 POL(2_{1_1}(x_1)) = x_1 10.41/3.66 POL(2_{2_1}(x_1)) = x_1 10.41/3.66 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 10.41/3.66 10.41/3.66 2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(2_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1))))))))))))) -> 2_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x1))))))))))))))))) 10.41/3.66 2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{2_1}(2_{2_1}(2_{2_1}(2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(1_{1_1}(x1)))))))))))))) -> 2_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{1_1}(x1)))))))))))))))))) 10.41/3.66 10.41/3.66 10.41/3.66 10.41/3.66 10.41/3.66 ---------------------------------------- 10.41/3.66 10.41/3.66 (12) 10.41/3.66 Obligation: 10.41/3.66 Q restricted rewrite system: 10.41/3.66 The TRS R consists of the following rules: 10.41/3.66 10.41/3.66 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(x1))))))))))))) -> 2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(x1))))))))))))))))) 10.41/3.66 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(x1))))))))))))) -> 2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(x1))))))))))))))))) 10.41/3.66 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(x1))))))))))))) -> 2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(x1))))))))))))))))) 10.41/3.66 10.41/3.66 Q is empty. 10.41/3.66 10.41/3.66 ---------------------------------------- 10.41/3.66 10.41/3.66 (13) QTRSRRRProof (EQUIVALENT) 10.41/3.66 Used ordering: 10.41/3.66 Polynomial interpretation [POLO]: 10.41/3.66 10.41/3.66 POL(0_{0_1}(x_1)) = x_1 10.41/3.66 POL(0_{1_1}(x_1)) = x_1 10.41/3.66 POL(0_{2_1}(x_1)) = x_1 10.41/3.66 POL(1_{0_1}(x_1)) = x_1 10.41/3.66 POL(1_{1_1}(x_1)) = 1 + x_1 10.41/3.66 POL(1_{2_1}(x_1)) = x_1 10.41/3.66 POL(2_{0_1}(x_1)) = x_1 10.41/3.66 POL(2_{1_1}(x_1)) = x_1 10.41/3.66 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 10.41/3.66 10.41/3.66 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(x1))))))))))))) -> 2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(x1))))))))))))))))) 10.41/3.66 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(x1))))))))))))) -> 2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(x1))))))))))))))))) 10.41/3.66 2_{1_1}(1_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(x1))))))))))))) -> 2_{1_1}(1_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(x1))))))))))))))))) 10.41/3.66 10.41/3.66 10.41/3.66 10.41/3.66 10.41/3.66 ---------------------------------------- 10.41/3.66 10.41/3.66 (14) 10.41/3.66 Obligation: 10.41/3.66 Q restricted rewrite system: 10.41/3.66 R is empty. 10.41/3.66 Q is empty. 10.41/3.66 10.41/3.66 ---------------------------------------- 10.41/3.66 10.41/3.66 (15) RisEmptyProof (EQUIVALENT) 10.41/3.66 The TRS R is empty. Hence, termination is trivially proven. 10.41/3.66 ---------------------------------------- 10.41/3.66 10.41/3.66 (16) 10.41/3.66 YES 10.85/3.71 EOF