YES proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRS Reverse [EQUIVALENT, 0 ms] (2) QTRS (3) FlatCCProof [EQUIVALENT, 0 ms] (4) QTRS (5) RootLabelingProof [EQUIVALENT, 2 ms] (6) QTRS (7) QTRSRRRProof [EQUIVALENT, 8854 ms] (8) QTRS (9) QTRSRRRProof [EQUIVALENT, 362 ms] (10) QTRS (11) QTRSRRRProof [EQUIVALENT, 217 ms] (12) QTRS (13) QTRSRRRProof [EQUIVALENT, 313 ms] (14) QTRS (15) QTRSRRRProof [EQUIVALENT, 242 ms] (16) QTRS (17) QTRSRRRProof [EQUIVALENT, 203 ms] (18) QTRS (19) QTRSRRRProof [EQUIVALENT, 176 ms] (20) QTRS (21) QTRSRRRProof [EQUIVALENT, 190 ms] (22) QTRS (23) QTRSRRRProof [EQUIVALENT, 204 ms] (24) QTRS (25) QTRSRRRProof [EQUIVALENT, 191 ms] (26) QTRS (27) QTRSRRRProof [EQUIVALENT, 193 ms] (28) QTRS (29) QTRSRRRProof [EQUIVALENT, 199 ms] (30) QTRS (31) QTRSRRRProof [EQUIVALENT, 156 ms] (32) QTRS (33) QTRSRRRProof [EQUIVALENT, 128 ms] (34) QTRS (35) QTRSRRRProof [EQUIVALENT, 148 ms] (36) QTRS (37) QTRSRRRProof [EQUIVALENT, 153 ms] (38) QTRS (39) QTRSRRRProof [EQUIVALENT, 104 ms] (40) QTRS (41) QTRSRRRProof [EQUIVALENT, 105 ms] (42) QTRS (43) QTRSRRRProof [EQUIVALENT, 86 ms] (44) QTRS (45) QTRSRRRProof [EQUIVALENT, 76 ms] (46) QTRS (47) QTRSRRRProof [EQUIVALENT, 92 ms] (48) QTRS (49) QTRSRRRProof [EQUIVALENT, 65 ms] (50) QTRS (51) QTRSRRRProof [EQUIVALENT, 46 ms] (52) QTRS (53) QTRSRRRProof [EQUIVALENT, 43 ms] (54) QTRS (55) QTRSRRRProof [EQUIVALENT, 11 ms] (56) QTRS (57) QTRSRRRProof [EQUIVALENT, 19 ms] (58) QTRS (59) QTRSRRRProof [EQUIVALENT, 15 ms] (60) QTRS (61) QTRSRRRProof [EQUIVALENT, 13 ms] (62) QTRS (63) QTRSRRRProof [EQUIVALENT, 0 ms] (64) QTRS (65) RisEmptyProof [EQUIVALENT, 0 ms] (66) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: 0(1(2(3(x1)))) -> 1(4(3(x1))) 1(2(0(4(2(x1))))) -> 3(4(5(4(x1)))) 3(3(0(3(2(x1))))) -> 3(2(4(1(x1)))) 5(2(1(0(4(x1))))) -> 5(5(4(5(x1)))) 0(1(4(5(0(5(x1)))))) -> 3(0(4(0(3(5(x1)))))) 0(2(5(2(1(5(x1)))))) -> 5(2(1(5(4(x1))))) 0(3(5(1(5(5(x1)))))) -> 0(5(1(5(4(x1))))) 2(2(5(1(4(5(4(3(x1)))))))) -> 2(2(3(3(0(1(0(3(x1)))))))) 0(0(0(2(4(1(2(2(4(x1))))))))) -> 0(0(0(4(3(3(4(4(x1)))))))) 2(4(4(3(4(2(0(3(2(x1))))))))) -> 3(4(3(4(1(3(3(1(x1)))))))) 0(1(4(3(2(3(2(3(5(3(x1)))))))))) -> 1(4(3(0(3(4(2(5(3(x1))))))))) 0(2(1(5(0(4(3(1(4(2(2(x1))))))))))) -> 0(0(4(0(5(1(0(5(4(4(2(x1))))))))))) 4(4(3(3(0(2(4(2(4(4(1(5(x1)))))))))))) -> 4(4(0(4(3(1(5(5(5(2(5(x1))))))))))) 5(3(0(0(5(5(2(0(2(2(3(3(x1)))))))))))) -> 5(5(4(1(5(2(0(5(2(4(3(x1))))))))))) 0(2(0(2(5(5(1(5(0(2(5(2(2(x1))))))))))))) -> 5(4(3(1(4(0(1(0(1(5(2(x1))))))))))) 0(3(1(4(4(2(0(5(4(0(1(0(4(x1))))))))))))) -> 0(0(4(4(1(0(4(0(0(2(2(4(4(x1))))))))))))) 1(2(4(1(1(0(2(5(3(4(0(1(4(0(3(x1))))))))))))))) -> 1(1(0(4(5(0(3(2(0(5(2(0(0(3(3(x1))))))))))))))) 2(3(5(2(4(4(5(1(4(4(4(1(3(2(3(x1))))))))))))))) -> 2(3(3(1(1(1(5(3(3(5(1(3(5(2(3(x1))))))))))))))) 5(4(2(5(2(5(3(2(3(3(1(5(0(0(5(x1))))))))))))))) -> 5(2(3(5(4(1(3(1(4(4(4(4(1(3(5(x1))))))))))))))) 0(0(2(4(1(2(2(1(3(2(0(4(5(5(4(2(x1)))))))))))))))) -> 0(5(1(1(0(2(3(5(4(3(0(2(5(2(3(5(1(x1))))))))))))))))) 0(1(1(5(3(0(1(4(2(2(4(0(1(0(2(3(4(x1))))))))))))))))) -> 0(4(2(2(0(1(5(4(4(0(2(2(2(5(5(4(x1)))))))))))))))) 0(2(3(2(5(2(4(3(2(4(3(0(2(4(5(1(3(x1))))))))))))))))) -> 3(4(3(5(2(5(3(1(5(0(1(0(5(5(2(3(x1)))))))))))))))) 4(5(4(5(4(2(1(4(5(0(2(0(4(3(0(0(1(0(0(2(x1)))))))))))))))))))) -> 4(4(2(2(5(2(0(0(0(5(3(4(1(2(2(1(1(5(0(0(x1)))))))))))))))))))) 3(0(1(0(5(2(4(4(4(5(2(4(1(1(4(5(4(0(3(2(1(x1))))))))))))))))))))) -> 3(4(2(0(4(5(2(2(2(3(3(3(5(0(5(5(3(2(1(1(4(x1))))))))))))))))))))) 3(3(2(1(0(0(3(1(2(0(2(1(2(3(5(4(0(2(2(1(1(x1))))))))))))))))))))) -> 3(4(5(2(4(3(4(3(5(3(4(5(4(2(5(5(1(0(1(x1))))))))))))))))))) Q is empty. ---------------------------------------- (1) QTRS Reverse (EQUIVALENT) We applied the QTRS Reverse Processor [REVERSE]. ---------------------------------------- (2) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: 3(2(1(0(x1)))) -> 3(4(1(x1))) 2(4(0(2(1(x1))))) -> 4(5(4(3(x1)))) 2(3(0(3(3(x1))))) -> 1(4(2(3(x1)))) 4(0(1(2(5(x1))))) -> 5(4(5(5(x1)))) 5(0(5(4(1(0(x1)))))) -> 5(3(0(4(0(3(x1)))))) 5(1(2(5(2(0(x1)))))) -> 4(5(1(2(5(x1))))) 5(5(1(5(3(0(x1)))))) -> 4(5(1(5(0(x1))))) 3(4(5(4(1(5(2(2(x1)))))))) -> 3(0(1(0(3(3(2(2(x1)))))))) 4(2(2(1(4(2(0(0(0(x1))))))))) -> 4(4(3(3(4(0(0(0(x1)))))))) 2(3(0(2(4(3(4(4(2(x1))))))))) -> 1(3(3(1(4(3(4(3(x1)))))))) 3(5(3(2(3(2(3(4(1(0(x1)))))))))) -> 3(5(2(4(3(0(3(4(1(x1))))))))) 2(2(4(1(3(4(0(5(1(2(0(x1))))))))))) -> 2(4(4(5(0(1(5(0(4(0(0(x1))))))))))) 5(1(4(4(2(4(2(0(3(3(4(4(x1)))))))))))) -> 5(2(5(5(5(1(3(4(0(4(4(x1))))))))))) 3(3(2(2(0(2(5(5(0(0(3(5(x1)))))))))))) -> 3(4(2(5(0(2(5(1(4(5(5(x1))))))))))) 2(2(5(2(0(5(1(5(5(2(0(2(0(x1))))))))))))) -> 2(5(1(0(1(0(4(1(3(4(5(x1))))))))))) 4(0(1(0(4(5(0(2(4(4(1(3(0(x1))))))))))))) -> 4(4(2(2(0(0(4(0(1(4(4(0(0(x1))))))))))))) 3(0(4(1(0(4(3(5(2(0(1(1(4(2(1(x1))))))))))))))) -> 3(3(0(0(2(5(0(2(3(0(5(4(0(1(1(x1))))))))))))))) 3(2(3(1(4(4(4(1(5(4(4(2(5(3(2(x1))))))))))))))) -> 3(2(5(3(1(5(3(3(5(1(1(1(3(3(2(x1))))))))))))))) 5(0(0(5(1(3(3(2(3(5(2(5(2(4(5(x1))))))))))))))) -> 5(3(1(4(4(4(4(1(3(1(4(5(3(2(5(x1))))))))))))))) 2(4(5(5(4(0(2(3(1(2(2(1(4(2(0(0(x1)))))))))))))))) -> 1(5(3(2(5(2(0(3(4(5(3(2(0(1(1(5(0(x1))))))))))))))))) 4(3(2(0(1(0(4(2(2(4(1(0(3(5(1(1(0(x1))))))))))))))))) -> 4(5(5(2(2(2(0(4(4(5(1(0(2(2(4(0(x1)))))))))))))))) 3(1(5(4(2(0(3(4(2(3(4(2(5(2(3(2(0(x1))))))))))))))))) -> 3(2(5(5(0(1(0(5(1(3(5(2(5(3(4(3(x1)))))))))))))))) 2(0(0(1(0(0(3(4(0(2(0(5(4(1(2(4(5(4(5(4(x1)))))))))))))))))))) -> 0(0(5(1(1(2(2(1(4(3(5(0(0(0(2(5(2(2(4(4(x1)))))))))))))))))))) 1(2(3(0(4(5(4(1(1(4(2(5(4(4(4(2(5(0(1(0(3(x1))))))))))))))))))))) -> 4(1(1(2(3(5(5(0(5(3(3(3(2(2(2(5(4(0(2(4(3(x1))))))))))))))))))))) 1(1(2(2(0(4(5(3(2(1(2(0(2(1(3(0(0(1(2(3(3(x1))))))))))))))))))))) -> 1(0(1(5(5(2(4(5(4(3(5(3(4(3(4(2(5(4(3(x1))))))))))))))))))) Q is empty. ---------------------------------------- (3) FlatCCProof (EQUIVALENT) We used flat context closure [ROOTLAB] As Q is empty the flat context closure was sound AND complete. ---------------------------------------- (4) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: 3(2(1(0(x1)))) -> 3(4(1(x1))) 5(0(5(4(1(0(x1)))))) -> 5(3(0(4(0(3(x1)))))) 3(4(5(4(1(5(2(2(x1)))))))) -> 3(0(1(0(3(3(2(2(x1)))))))) 4(2(2(1(4(2(0(0(0(x1))))))))) -> 4(4(3(3(4(0(0(0(x1)))))))) 3(5(3(2(3(2(3(4(1(0(x1)))))))))) -> 3(5(2(4(3(0(3(4(1(x1))))))))) 2(2(4(1(3(4(0(5(1(2(0(x1))))))))))) -> 2(4(4(5(0(1(5(0(4(0(0(x1))))))))))) 5(1(4(4(2(4(2(0(3(3(4(4(x1)))))))))))) -> 5(2(5(5(5(1(3(4(0(4(4(x1))))))))))) 3(3(2(2(0(2(5(5(0(0(3(5(x1)))))))))))) -> 3(4(2(5(0(2(5(1(4(5(5(x1))))))))))) 2(2(5(2(0(5(1(5(5(2(0(2(0(x1))))))))))))) -> 2(5(1(0(1(0(4(1(3(4(5(x1))))))))))) 4(0(1(0(4(5(0(2(4(4(1(3(0(x1))))))))))))) -> 4(4(2(2(0(0(4(0(1(4(4(0(0(x1))))))))))))) 3(0(4(1(0(4(3(5(2(0(1(1(4(2(1(x1))))))))))))))) -> 3(3(0(0(2(5(0(2(3(0(5(4(0(1(1(x1))))))))))))))) 3(2(3(1(4(4(4(1(5(4(4(2(5(3(2(x1))))))))))))))) -> 3(2(5(3(1(5(3(3(5(1(1(1(3(3(2(x1))))))))))))))) 5(0(0(5(1(3(3(2(3(5(2(5(2(4(5(x1))))))))))))))) -> 5(3(1(4(4(4(4(1(3(1(4(5(3(2(5(x1))))))))))))))) 4(3(2(0(1(0(4(2(2(4(1(0(3(5(1(1(0(x1))))))))))))))))) -> 4(5(5(2(2(2(0(4(4(5(1(0(2(2(4(0(x1)))))))))))))))) 3(1(5(4(2(0(3(4(2(3(4(2(5(2(3(2(0(x1))))))))))))))))) -> 3(2(5(5(0(1(0(5(1(3(5(2(5(3(4(3(x1)))))))))))))))) 1(1(2(2(0(4(5(3(2(1(2(0(2(1(3(0(0(1(2(3(3(x1))))))))))))))))))))) -> 1(0(1(5(5(2(4(5(4(3(5(3(4(3(4(2(5(4(3(x1))))))))))))))))))) 3(2(4(0(2(1(x1)))))) -> 3(4(5(4(3(x1))))) 2(2(4(0(2(1(x1)))))) -> 2(4(5(4(3(x1))))) 1(2(4(0(2(1(x1)))))) -> 1(4(5(4(3(x1))))) 0(2(4(0(2(1(x1)))))) -> 0(4(5(4(3(x1))))) 4(2(4(0(2(1(x1)))))) -> 4(4(5(4(3(x1))))) 5(2(4(0(2(1(x1)))))) -> 5(4(5(4(3(x1))))) 3(2(3(0(3(3(x1)))))) -> 3(1(4(2(3(x1))))) 2(2(3(0(3(3(x1)))))) -> 2(1(4(2(3(x1))))) 1(2(3(0(3(3(x1)))))) -> 1(1(4(2(3(x1))))) 0(2(3(0(3(3(x1)))))) -> 0(1(4(2(3(x1))))) 4(2(3(0(3(3(x1)))))) -> 4(1(4(2(3(x1))))) 5(2(3(0(3(3(x1)))))) -> 5(1(4(2(3(x1))))) 3(4(0(1(2(5(x1)))))) -> 3(5(4(5(5(x1))))) 2(4(0(1(2(5(x1)))))) -> 2(5(4(5(5(x1))))) 1(4(0(1(2(5(x1)))))) -> 1(5(4(5(5(x1))))) 0(4(0(1(2(5(x1)))))) -> 0(5(4(5(5(x1))))) 4(4(0(1(2(5(x1)))))) -> 4(5(4(5(5(x1))))) 5(4(0(1(2(5(x1)))))) -> 5(5(4(5(5(x1))))) 3(5(1(2(5(2(0(x1))))))) -> 3(4(5(1(2(5(x1)))))) 2(5(1(2(5(2(0(x1))))))) -> 2(4(5(1(2(5(x1)))))) 1(5(1(2(5(2(0(x1))))))) -> 1(4(5(1(2(5(x1)))))) 0(5(1(2(5(2(0(x1))))))) -> 0(4(5(1(2(5(x1)))))) 4(5(1(2(5(2(0(x1))))))) -> 4(4(5(1(2(5(x1)))))) 5(5(1(2(5(2(0(x1))))))) -> 5(4(5(1(2(5(x1)))))) 3(5(5(1(5(3(0(x1))))))) -> 3(4(5(1(5(0(x1)))))) 2(5(5(1(5(3(0(x1))))))) -> 2(4(5(1(5(0(x1)))))) 1(5(5(1(5(3(0(x1))))))) -> 1(4(5(1(5(0(x1)))))) 0(5(5(1(5(3(0(x1))))))) -> 0(4(5(1(5(0(x1)))))) 4(5(5(1(5(3(0(x1))))))) -> 4(4(5(1(5(0(x1)))))) 5(5(5(1(5(3(0(x1))))))) -> 5(4(5(1(5(0(x1)))))) 3(2(3(0(2(4(3(4(4(2(x1)))))))))) -> 3(1(3(3(1(4(3(4(3(x1))))))))) 2(2(3(0(2(4(3(4(4(2(x1)))))))))) -> 2(1(3(3(1(4(3(4(3(x1))))))))) 1(2(3(0(2(4(3(4(4(2(x1)))))))))) -> 1(1(3(3(1(4(3(4(3(x1))))))))) 0(2(3(0(2(4(3(4(4(2(x1)))))))))) -> 0(1(3(3(1(4(3(4(3(x1))))))))) 4(2(3(0(2(4(3(4(4(2(x1)))))))))) -> 4(1(3(3(1(4(3(4(3(x1))))))))) 5(2(3(0(2(4(3(4(4(2(x1)))))))))) -> 5(1(3(3(1(4(3(4(3(x1))))))))) 3(2(4(5(5(4(0(2(3(1(2(2(1(4(2(0(0(x1))))))))))))))))) -> 3(1(5(3(2(5(2(0(3(4(5(3(2(0(1(1(5(0(x1)))))))))))))))))) 2(2(4(5(5(4(0(2(3(1(2(2(1(4(2(0(0(x1))))))))))))))))) -> 2(1(5(3(2(5(2(0(3(4(5(3(2(0(1(1(5(0(x1)))))))))))))))))) 1(2(4(5(5(4(0(2(3(1(2(2(1(4(2(0(0(x1))))))))))))))))) -> 1(1(5(3(2(5(2(0(3(4(5(3(2(0(1(1(5(0(x1)))))))))))))))))) 0(2(4(5(5(4(0(2(3(1(2(2(1(4(2(0(0(x1))))))))))))))))) -> 0(1(5(3(2(5(2(0(3(4(5(3(2(0(1(1(5(0(x1)))))))))))))))))) 4(2(4(5(5(4(0(2(3(1(2(2(1(4(2(0(0(x1))))))))))))))))) -> 4(1(5(3(2(5(2(0(3(4(5(3(2(0(1(1(5(0(x1)))))))))))))))))) 5(2(4(5(5(4(0(2(3(1(2(2(1(4(2(0(0(x1))))))))))))))))) -> 5(1(5(3(2(5(2(0(3(4(5(3(2(0(1(1(5(0(x1)))))))))))))))))) 3(2(0(0(1(0(0(3(4(0(2(0(5(4(1(2(4(5(4(5(4(x1))))))))))))))))))))) -> 3(0(0(5(1(1(2(2(1(4(3(5(0(0(0(2(5(2(2(4(4(x1))))))))))))))))))))) 2(2(0(0(1(0(0(3(4(0(2(0(5(4(1(2(4(5(4(5(4(x1))))))))))))))))))))) -> 2(0(0(5(1(1(2(2(1(4(3(5(0(0(0(2(5(2(2(4(4(x1))))))))))))))))))))) 1(2(0(0(1(0(0(3(4(0(2(0(5(4(1(2(4(5(4(5(4(x1))))))))))))))))))))) -> 1(0(0(5(1(1(2(2(1(4(3(5(0(0(0(2(5(2(2(4(4(x1))))))))))))))))))))) 0(2(0(0(1(0(0(3(4(0(2(0(5(4(1(2(4(5(4(5(4(x1))))))))))))))))))))) -> 0(0(0(5(1(1(2(2(1(4(3(5(0(0(0(2(5(2(2(4(4(x1))))))))))))))))))))) 4(2(0(0(1(0(0(3(4(0(2(0(5(4(1(2(4(5(4(5(4(x1))))))))))))))))))))) -> 4(0(0(5(1(1(2(2(1(4(3(5(0(0(0(2(5(2(2(4(4(x1))))))))))))))))))))) 5(2(0(0(1(0(0(3(4(0(2(0(5(4(1(2(4(5(4(5(4(x1))))))))))))))))))))) -> 5(0(0(5(1(1(2(2(1(4(3(5(0(0(0(2(5(2(2(4(4(x1))))))))))))))))))))) 3(1(2(3(0(4(5(4(1(1(4(2(5(4(4(4(2(5(0(1(0(3(x1)))))))))))))))))))))) -> 3(4(1(1(2(3(5(5(0(5(3(3(3(2(2(2(5(4(0(2(4(3(x1)))))))))))))))))))))) 2(1(2(3(0(4(5(4(1(1(4(2(5(4(4(4(2(5(0(1(0(3(x1)))))))))))))))))))))) -> 2(4(1(1(2(3(5(5(0(5(3(3(3(2(2(2(5(4(0(2(4(3(x1)))))))))))))))))))))) 1(1(2(3(0(4(5(4(1(1(4(2(5(4(4(4(2(5(0(1(0(3(x1)))))))))))))))))))))) -> 1(4(1(1(2(3(5(5(0(5(3(3(3(2(2(2(5(4(0(2(4(3(x1)))))))))))))))))))))) 0(1(2(3(0(4(5(4(1(1(4(2(5(4(4(4(2(5(0(1(0(3(x1)))))))))))))))))))))) -> 0(4(1(1(2(3(5(5(0(5(3(3(3(2(2(2(5(4(0(2(4(3(x1)))))))))))))))))))))) 4(1(2(3(0(4(5(4(1(1(4(2(5(4(4(4(2(5(0(1(0(3(x1)))))))))))))))))))))) -> 4(4(1(1(2(3(5(5(0(5(3(3(3(2(2(2(5(4(0(2(4(3(x1)))))))))))))))))))))) 5(1(2(3(0(4(5(4(1(1(4(2(5(4(4(4(2(5(0(1(0(3(x1)))))))))))))))))))))) -> 5(4(1(1(2(3(5(5(0(5(3(3(3(2(2(2(5(4(0(2(4(3(x1)))))))))))))))))))))) Q is empty. ---------------------------------------- (5) RootLabelingProof (EQUIVALENT) We used plain root labeling [ROOTLAB] with the following heuristic: LabelAll: All function symbols get labeled As Q is empty the root labeling was sound AND complete. ---------------------------------------- (6) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: 3_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 3_{4_1}(4_{1_1}(1_{3_1}(x1))) 3_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 3_{4_1}(4_{1_1}(1_{2_1}(x1))) 3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 3_{4_1}(4_{1_1}(1_{1_1}(x1))) 3_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 3_{4_1}(4_{1_1}(1_{0_1}(x1))) 3_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 3_{4_1}(4_{1_1}(1_{4_1}(x1))) 3_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 3_{4_1}(4_{1_1}(1_{5_1}(x1))) 5_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(x1)))))) -> 5_{3_1}(3_{0_1}(0_{4_1}(4_{0_1}(0_{3_1}(3_{3_1}(x1)))))) 5_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(x1)))))) -> 5_{3_1}(3_{0_1}(0_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(x1)))))) 5_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(x1)))))) -> 5_{3_1}(3_{0_1}(0_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(x1)))))) 5_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(x1)))))) -> 5_{3_1}(3_{0_1}(0_{4_1}(4_{0_1}(0_{3_1}(3_{0_1}(x1)))))) 5_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(x1)))))) -> 5_{3_1}(3_{0_1}(0_{4_1}(4_{0_1}(0_{3_1}(3_{4_1}(x1)))))) 5_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{0_1}(0_{5_1}(x1)))))) -> 5_{3_1}(3_{0_1}(0_{4_1}(4_{0_1}(0_{3_1}(3_{5_1}(x1)))))) 3_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{3_1}(x1)))))))) -> 3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(x1)))))))) 3_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(x1)))))))) -> 3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(x1)))))))) 3_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(x1)))))))) -> 3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{1_1}(x1)))))))) 3_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(x1)))))))) -> 3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(x1)))))))) 3_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(x1)))))))) -> 3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{4_1}(x1)))))))) 3_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{5_1}(x1)))))))) -> 3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(x1)))))))) 4_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(x1))))))))) -> 4_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(x1)))))))) 4_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1))))))))) -> 4_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))) 4_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1))))))))) -> 4_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))) 4_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1))))))))) -> 4_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))) 4_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(x1))))))))) -> 4_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(x1)))))))) 4_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(x1))))))))) -> 4_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(x1)))))))) 3_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(x1)))))))))) -> 3_{5_1}(5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(x1))))))))) 3_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(x1)))))))))) -> 3_{5_1}(5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(x1))))))))) 3_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(x1)))))))))) -> 3_{5_1}(5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(1_{1_1}(x1))))))))) 3_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(x1)))))))))) -> 3_{5_1}(5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(x1))))))))) 3_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(x1)))))))))) -> 3_{5_1}(5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(1_{4_1}(x1))))))))) 3_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{5_1}(x1)))))))))) -> 3_{5_1}(5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(x1))))))))) 2_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1))))))))))) -> 2_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))) 2_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1))))))))))) -> 2_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))) 2_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1))))))))))) -> 2_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))) 2_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1))))))))))) -> 2_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))) 2_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1))))))))))) -> 2_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))) 2_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1))))))))))) -> 2_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))) 5_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(x1)))))))))))) -> 5_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))) 5_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(x1)))))))))))) -> 5_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))) 5_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{1_1}(x1)))))))))))) -> 5_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))) 5_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{0_1}(x1)))))))))))) -> 5_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))) 5_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(x1)))))))))))) -> 5_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))) 5_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(x1)))))))))))) -> 5_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))) 3_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(x1)))))))))))) -> 3_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(5_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{3_1}(x1))))))))))) 3_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(x1)))))))))))) -> 3_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(5_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{2_1}(x1))))))))))) 3_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(x1)))))))))))) -> 3_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(5_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(x1))))))))))) 3_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{0_1}(0_{3_1}(3_{5_1}(5_{0_1}(x1)))))))))))) -> 3_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(5_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{0_1}(x1))))))))))) 3_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{0_1}(0_{3_1}(3_{5_1}(5_{4_1}(x1)))))))))))) -> 3_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(5_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(x1))))))))))) 3_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{0_1}(0_{3_1}(3_{5_1}(5_{5_1}(x1)))))))))))) -> 3_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(5_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(x1))))))))))) 2_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{5_1}(5_{5_1}(5_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1))))))))))))) -> 2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(x1))))))))))) 2_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{5_1}(5_{5_1}(5_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1))))))))))))) -> 2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(x1))))))))))) 2_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{5_1}(5_{5_1}(5_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1))))))))))))) -> 2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{1_1}(x1))))))))))) 2_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{5_1}(5_{5_1}(5_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1))))))))))))) -> 2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(x1))))))))))) 2_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{5_1}(5_{5_1}(5_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1))))))))))))) -> 2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(x1))))))))))) 2_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{5_1}(5_{5_1}(5_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1))))))))))))) -> 2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{5_1}(x1))))))))))) 4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))))))))))) -> 4_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))) 4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))))))))))) -> 4_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))) 4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))))))))))) -> 4_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))) 4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))))))))))) -> 4_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))) 4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))))))))))) -> 4_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))) 4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))))))))))) -> 4_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))) 3_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{1_1}(1_{3_1}(x1))))))))))))))) -> 3_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{1_1}(1_{3_1}(x1))))))))))))))) 3_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(x1))))))))))))))) -> 3_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(x1))))))))))))))) 3_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{1_1}(1_{1_1}(x1))))))))))))))) -> 3_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(x1))))))))))))))) 3_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(x1))))))))))))))) -> 3_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(x1))))))))))))))) 3_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{1_1}(1_{4_1}(x1))))))))))))))) -> 3_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{1_1}(1_{4_1}(x1))))))))))))))) 3_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(x1))))))))))))))) -> 3_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(x1))))))))))))))) 3_{2_1}(2_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(x1))))))))))))))) -> 3_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(x1))))))))))))))) 3_{2_1}(2_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(x1))))))))))))))) -> 3_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(x1))))))))))))))) 3_{2_1}(2_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(x1))))))))))))))) -> 3_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(x1))))))))))))))) 3_{2_1}(2_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(x1))))))))))))))) -> 3_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(2_{0_1}(x1))))))))))))))) 3_{2_1}(2_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(2_{4_1}(x1))))))))))))))) -> 3_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(x1))))))))))))))) 3_{2_1}(2_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(x1))))))))))))))) -> 3_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(2_{5_1}(x1))))))))))))))) 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(5_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(x1))))))))))))))) -> 5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{4_1}(4_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{3_1}(x1))))))))))))))) 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(5_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(x1))))))))))))))) -> 5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{4_1}(4_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(x1))))))))))))))) 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(5_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(x1))))))))))))))) -> 5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{4_1}(4_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{1_1}(x1))))))))))))))) 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(5_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(x1))))))))))))))) -> 5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{4_1}(4_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(x1))))))))))))))) 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(5_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(x1))))))))))))))) -> 5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{4_1}(4_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{4_1}(x1))))))))))))))) 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(5_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(x1))))))))))))))) -> 5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{4_1}(4_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(x1))))))))))))))) 4_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(x1))))))))))))))))) -> 4_{5_1}(5_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{3_1}(x1)))))))))))))))) 4_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x1))))))))))))))))) -> 4_{5_1}(5_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(x1)))))))))))))))) 4_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x1))))))))))))))))) -> 4_{5_1}(5_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(x1)))))))))))))))) 4_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x1))))))))))))))))) -> 4_{5_1}(5_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(x1)))))))))))))))) 4_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(x1))))))))))))))))) -> 4_{5_1}(5_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{4_1}(x1)))))))))))))))) 4_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(x1))))))))))))))))) -> 4_{5_1}(5_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{5_1}(x1)))))))))))))))) 3_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(2_{3_1}(3_{4_1}(4_{2_1}(2_{5_1}(5_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(x1))))))))))))))))) -> 3_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(5_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))) 3_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(2_{3_1}(3_{4_1}(4_{2_1}(2_{5_1}(5_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1))))))))))))))))) -> 3_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(5_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))) 3_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(2_{3_1}(3_{4_1}(4_{2_1}(2_{5_1}(5_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(x1))))))))))))))))) -> 3_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(5_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))) 3_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(2_{3_1}(3_{4_1}(4_{2_1}(2_{5_1}(5_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1))))))))))))))))) -> 3_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(5_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))) 3_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(2_{3_1}(3_{4_1}(4_{2_1}(2_{5_1}(5_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(x1))))))))))))))))) -> 3_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(5_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))) 3_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(2_{3_1}(3_{4_1}(4_{2_1}(2_{5_1}(5_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1))))))))))))))))) -> 3_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(5_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))) 1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{3_1}(3_{3_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{1_1}(1_{5_1}(5_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{3_1}(x1))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{1_1}(1_{5_1}(5_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(x1))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{1_1}(1_{5_1}(5_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{1_1}(x1))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{1_1}(1_{5_1}(5_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{0_1}(x1))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{1_1}(1_{5_1}(5_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(x1))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{3_1}(3_{5_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{1_1}(1_{5_1}(5_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{5_1}(x1))))))))))))))))))) 3_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(x1)))))) -> 3_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{3_1}(x1))))) 3_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(x1)))))) -> 3_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(x1))))) 3_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(x1)))))) -> 3_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{1_1}(x1))))) 3_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(x1)))))) -> 3_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{0_1}(x1))))) 3_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{4_1}(x1)))))) -> 3_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(x1))))) 3_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(x1)))))) -> 3_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{5_1}(x1))))) 2_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(x1)))))) -> 2_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{3_1}(x1))))) 2_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(x1)))))) -> 2_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(x1))))) 2_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(x1)))))) -> 2_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{1_1}(x1))))) 2_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(x1)))))) -> 2_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{0_1}(x1))))) 2_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{4_1}(x1)))))) -> 2_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(x1))))) 2_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(x1)))))) -> 2_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{5_1}(x1))))) 1_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(x1)))))) -> 1_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{3_1}(x1))))) 1_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(x1)))))) -> 1_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(x1))))) 1_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(x1)))))) -> 1_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{1_1}(x1))))) 1_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(x1)))))) -> 1_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{0_1}(x1))))) 1_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{4_1}(x1)))))) -> 1_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(x1))))) 1_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(x1)))))) -> 1_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{5_1}(x1))))) 0_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(x1)))))) -> 0_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{3_1}(x1))))) 0_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(x1)))))) -> 0_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(x1))))) 0_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(x1)))))) -> 0_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{1_1}(x1))))) 0_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(x1)))))) -> 0_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{0_1}(x1))))) 0_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{4_1}(x1)))))) -> 0_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(x1))))) 0_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(x1)))))) -> 0_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{5_1}(x1))))) 4_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(x1)))))) -> 4_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{3_1}(x1))))) 4_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(x1)))))) -> 4_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(x1))))) 4_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(x1)))))) -> 4_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{1_1}(x1))))) 4_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(x1)))))) -> 4_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{0_1}(x1))))) 4_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{4_1}(x1)))))) -> 4_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(x1))))) 4_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(x1)))))) -> 4_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{5_1}(x1))))) 5_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(x1)))))) -> 5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{3_1}(x1))))) 5_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(x1)))))) -> 5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(x1))))) 5_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(x1)))))) -> 5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{1_1}(x1))))) 5_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(x1)))))) -> 5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{0_1}(x1))))) 5_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{4_1}(x1)))))) -> 5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(x1))))) 5_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(x1)))))) -> 5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{5_1}(x1))))) 3_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{3_1}(x1)))))) -> 3_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(x1))))) 3_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{2_1}(x1)))))) -> 3_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(x1))))) 3_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{1_1}(x1)))))) -> 3_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{1_1}(x1))))) 3_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{0_1}(x1)))))) -> 3_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{0_1}(x1))))) 3_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(x1)))))) -> 3_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{4_1}(x1))))) 3_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{5_1}(x1)))))) -> 3_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(x1))))) 2_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{3_1}(x1)))))) -> 2_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(x1))))) 2_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{2_1}(x1)))))) -> 2_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(x1))))) 2_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{1_1}(x1)))))) -> 2_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{1_1}(x1))))) 2_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{0_1}(x1)))))) -> 2_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{0_1}(x1))))) 2_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(x1)))))) -> 2_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{4_1}(x1))))) 2_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{5_1}(x1)))))) -> 2_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(x1))))) 1_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{3_1}(x1)))))) -> 1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(x1))))) 1_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{2_1}(x1)))))) -> 1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(x1))))) 1_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{1_1}(x1)))))) -> 1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{1_1}(x1))))) 1_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{0_1}(x1)))))) -> 1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{0_1}(x1))))) 1_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(x1)))))) -> 1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{4_1}(x1))))) 1_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{5_1}(x1)))))) -> 1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(x1))))) 0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{3_1}(x1)))))) -> 0_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(x1))))) 0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{2_1}(x1)))))) -> 0_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(x1))))) 0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{1_1}(x1)))))) -> 0_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{1_1}(x1))))) 0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{0_1}(x1)))))) -> 0_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{0_1}(x1))))) 0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(x1)))))) -> 0_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{4_1}(x1))))) 0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{5_1}(x1)))))) -> 0_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(x1))))) 4_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{3_1}(x1)))))) -> 4_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(x1))))) 4_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{2_1}(x1)))))) -> 4_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(x1))))) 4_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{1_1}(x1)))))) -> 4_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{1_1}(x1))))) 4_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{0_1}(x1)))))) -> 4_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{0_1}(x1))))) 4_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(x1)))))) -> 4_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{4_1}(x1))))) 4_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{5_1}(x1)))))) -> 4_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(x1))))) 5_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{3_1}(x1)))))) -> 5_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(x1))))) 5_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{2_1}(x1)))))) -> 5_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(x1))))) 5_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{1_1}(x1)))))) -> 5_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{1_1}(x1))))) 5_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{0_1}(x1)))))) -> 5_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{0_1}(x1))))) 5_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(x1)))))) -> 5_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{4_1}(x1))))) 5_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{5_1}(x1)))))) -> 5_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(x1))))) 3_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{3_1}(x1)))))) -> 3_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{3_1}(x1))))) 3_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(x1)))))) -> 3_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{2_1}(x1))))) 3_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{1_1}(x1)))))) -> 3_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(x1))))) 3_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(x1)))))) -> 3_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{0_1}(x1))))) 3_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(x1)))))) -> 3_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(x1))))) 3_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(x1)))))) -> 3_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(x1))))) 2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{3_1}(x1)))))) -> 2_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{3_1}(x1))))) 2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(x1)))))) -> 2_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{2_1}(x1))))) 2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{1_1}(x1)))))) -> 2_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(x1))))) 2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(x1)))))) -> 2_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{0_1}(x1))))) 2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(x1)))))) -> 2_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(x1))))) 2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(x1)))))) -> 2_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(x1))))) 1_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{3_1}(x1)))))) -> 1_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{3_1}(x1))))) 1_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(x1)))))) -> 1_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{2_1}(x1))))) 1_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{1_1}(x1)))))) -> 1_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(x1))))) 1_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(x1)))))) -> 1_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{0_1}(x1))))) 1_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(x1)))))) -> 1_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(x1))))) 1_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(x1)))))) -> 1_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(x1))))) 0_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{3_1}(x1)))))) -> 0_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{3_1}(x1))))) 0_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(x1)))))) -> 0_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{2_1}(x1))))) 0_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{1_1}(x1)))))) -> 0_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(x1))))) 0_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(x1)))))) -> 0_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{0_1}(x1))))) 0_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(x1)))))) -> 0_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(x1))))) 0_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(x1)))))) -> 0_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(x1))))) 4_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{3_1}(x1)))))) -> 4_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{3_1}(x1))))) 4_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(x1)))))) -> 4_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{2_1}(x1))))) 4_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{1_1}(x1)))))) -> 4_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(x1))))) 4_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(x1)))))) -> 4_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{0_1}(x1))))) 4_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(x1)))))) -> 4_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(x1))))) 4_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(x1)))))) -> 4_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(x1))))) 5_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{3_1}(x1)))))) -> 5_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{3_1}(x1))))) 5_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(x1)))))) -> 5_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{2_1}(x1))))) 5_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{1_1}(x1)))))) -> 5_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(x1))))) 5_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(x1)))))) -> 5_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{0_1}(x1))))) 5_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(x1)))))) -> 5_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(x1))))) 5_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(x1)))))) -> 5_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(x1))))) 3_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{3_1}(x1)))))) 3_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{2_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(x1)))))) 3_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{1_1}(x1)))))) 3_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{0_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(x1)))))) 3_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(x1)))))) 3_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(x1)))))) 2_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{3_1}(x1)))))) 2_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{2_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(x1)))))) 2_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{1_1}(x1)))))) 2_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{0_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(x1)))))) 2_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(x1)))))) 2_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(x1)))))) 1_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(x1))))))) -> 1_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{3_1}(x1)))))) 1_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{2_1}(x1))))))) -> 1_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(x1)))))) 1_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(x1))))))) -> 1_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{1_1}(x1)))))) 1_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{0_1}(x1))))))) -> 1_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(x1)))))) 1_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(x1))))))) -> 1_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(x1)))))) 1_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(x1))))))) -> 1_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(x1)))))) 0_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{3_1}(x1)))))) 0_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{2_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(x1)))))) 0_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{1_1}(x1)))))) 0_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{0_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(x1)))))) 0_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(x1)))))) 0_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(x1)))))) 4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{3_1}(x1)))))) 4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{2_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(x1)))))) 4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{1_1}(x1)))))) 4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{0_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(x1)))))) 4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(x1)))))) 4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(x1)))))) 5_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{3_1}(x1)))))) 5_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{2_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(x1)))))) 5_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{1_1}(x1)))))) 5_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{0_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(x1)))))) 5_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(x1)))))) 5_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(x1)))))) 3_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))) 3_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))) 3_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))) 3_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))) 3_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))) 3_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))) 2_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))) 2_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))) 2_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))) 2_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))) 2_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))) 2_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))) 1_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 1_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))) 1_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 1_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))) 1_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 1_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))) 1_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 1_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))) 1_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 1_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))) 1_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 1_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))) 3_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(x1)))))))))) -> 3_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))) 3_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{2_1}(x1)))))))))) -> 3_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))) 3_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(x1)))))))))) -> 3_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))) 3_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(x1)))))))))) -> 3_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))) 3_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{4_1}(x1)))))))))) -> 3_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))) 3_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(x1)))))))))) -> 3_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))) 2_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(x1)))))))))) -> 2_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))) 2_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{2_1}(x1)))))))))) -> 2_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))) 2_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(x1)))))))))) -> 2_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))) 2_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(x1)))))))))) -> 2_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))) 2_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{4_1}(x1)))))))))) -> 2_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))) 2_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(x1)))))))))) -> 2_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))) 1_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(x1)))))))))) -> 1_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))) 1_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{2_1}(x1)))))))))) -> 1_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))) 1_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(x1)))))))))) -> 1_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))) 1_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(x1)))))))))) -> 1_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))) 1_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{4_1}(x1)))))))))) -> 1_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))) 1_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(x1)))))))))) -> 1_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))) 0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(x1)))))))))) -> 0_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))) 0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{2_1}(x1)))))))))) -> 0_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))) 0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(x1)))))))))) -> 0_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))) 0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(x1)))))))))) -> 0_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))) 0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{4_1}(x1)))))))))) -> 0_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))) 0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(x1)))))))))) -> 0_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))) 4_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(x1)))))))))) -> 4_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))) 4_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{2_1}(x1)))))))))) -> 4_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))) 4_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(x1)))))))))) -> 4_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))) 4_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(x1)))))))))) -> 4_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))) 4_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{4_1}(x1)))))))))) -> 4_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))) 4_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(x1)))))))))) -> 4_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))) 5_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(x1)))))))))) -> 5_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))) 5_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{2_1}(x1)))))))))) -> 5_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))) 5_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(x1)))))))))) -> 5_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))) 5_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(x1)))))))))) -> 5_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))) 5_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{4_1}(x1)))))))))) -> 5_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))) 5_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(x1)))))))))) -> 5_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) Q is empty. ---------------------------------------- (7) QTRSRRRProof (EQUIVALENT) Used ordering: Polynomial interpretation [POLO]: POL(0_{0_1}(x_1)) = 869 + x_1 POL(0_{1_1}(x_1)) = x_1 POL(0_{2_1}(x_1)) = 1323 + x_1 POL(0_{3_1}(x_1)) = 1447 + x_1 POL(0_{4_1}(x_1)) = 29 + x_1 POL(0_{5_1}(x_1)) = 1641 + x_1 POL(1_{0_1}(x_1)) = 2617 + x_1 POL(1_{1_1}(x_1)) = 1748 + x_1 POL(1_{2_1}(x_1)) = 3071 + x_1 POL(1_{3_1}(x_1)) = 2706 + x_1 POL(1_{4_1}(x_1)) = 1777 + x_1 POL(1_{5_1}(x_1)) = 4167 + x_1 POL(2_{0_1}(x_1)) = 1149 + x_1 POL(2_{1_1}(x_1)) = 280 + x_1 POL(2_{2_1}(x_1)) = 1603 + x_1 POL(2_{3_1}(x_1)) = 1825 + x_1 POL(2_{4_1}(x_1)) = 309 + x_1 POL(2_{5_1}(x_1)) = 1921 + x_1 POL(3_{0_1}(x_1)) = 886 + x_1 POL(3_{1_1}(x_1)) = 17 + x_1 POL(3_{2_1}(x_1)) = 1340 + x_1 POL(3_{3_1}(x_1)) = 2622 + x_1 POL(3_{4_1}(x_1)) = 46 + x_1 POL(3_{5_1}(x_1)) = 1658 + x_1 POL(4_{0_1}(x_1)) = 2532 + x_1 POL(4_{1_1}(x_1)) = 1663 + x_1 POL(4_{2_1}(x_1)) = 2986 + x_1 POL(4_{3_1}(x_1)) = 2409 + x_1 POL(4_{4_1}(x_1)) = 1692 + x_1 POL(4_{5_1}(x_1)) = 3304 + x_1 POL(5_{0_1}(x_1)) = 949 + x_1 POL(5_{1_1}(x_1)) = 80 + x_1 POL(5_{2_1}(x_1)) = 1403 + x_1 POL(5_{3_1}(x_1)) = 34 + x_1 POL(5_{4_1}(x_1)) = 109 + x_1 POL(5_{5_1}(x_1)) = 1721 + x_1 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 3_{2_1}(2_{1_1}(1_{0_1}(0_{3_1}(x1)))) -> 3_{4_1}(4_{1_1}(1_{3_1}(x1))) 3_{2_1}(2_{1_1}(1_{0_1}(0_{2_1}(x1)))) -> 3_{4_1}(4_{1_1}(1_{2_1}(x1))) 3_{2_1}(2_{1_1}(1_{0_1}(0_{1_1}(x1)))) -> 3_{4_1}(4_{1_1}(1_{1_1}(x1))) 3_{2_1}(2_{1_1}(1_{0_1}(0_{0_1}(x1)))) -> 3_{4_1}(4_{1_1}(1_{0_1}(x1))) 3_{2_1}(2_{1_1}(1_{0_1}(0_{4_1}(x1)))) -> 3_{4_1}(4_{1_1}(1_{4_1}(x1))) 3_{2_1}(2_{1_1}(1_{0_1}(0_{5_1}(x1)))) -> 3_{4_1}(4_{1_1}(1_{5_1}(x1))) 5_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(x1)))))) -> 5_{3_1}(3_{0_1}(0_{4_1}(4_{0_1}(0_{3_1}(3_{3_1}(x1)))))) 5_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(x1)))))) -> 5_{3_1}(3_{0_1}(0_{4_1}(4_{0_1}(0_{3_1}(3_{2_1}(x1)))))) 5_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(x1)))))) -> 5_{3_1}(3_{0_1}(0_{4_1}(4_{0_1}(0_{3_1}(3_{1_1}(x1)))))) 5_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(x1)))))) -> 5_{3_1}(3_{0_1}(0_{4_1}(4_{0_1}(0_{3_1}(3_{0_1}(x1)))))) 5_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(x1)))))) -> 5_{3_1}(3_{0_1}(0_{4_1}(4_{0_1}(0_{3_1}(3_{4_1}(x1)))))) 5_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{0_1}(0_{5_1}(x1)))))) -> 5_{3_1}(3_{0_1}(0_{4_1}(4_{0_1}(0_{3_1}(3_{5_1}(x1)))))) 3_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{3_1}(x1)))))))) -> 3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{3_1}(x1)))))))) 3_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(x1)))))))) -> 3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(x1)))))))) 3_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{1_1}(x1)))))))) -> 3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{1_1}(x1)))))))) 3_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{0_1}(x1)))))))) -> 3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(x1)))))))) 3_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(x1)))))))) -> 3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{4_1}(x1)))))))) 3_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{5_1}(5_{2_1}(2_{2_1}(2_{5_1}(x1)))))))) -> 3_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{5_1}(x1)))))))) 4_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(x1))))))))) -> 4_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{3_1}(x1)))))))) 4_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1))))))))) -> 4_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(x1)))))))) 4_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1))))))))) -> 4_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{1_1}(x1)))))))) 4_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1))))))))) -> 4_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{0_1}(x1)))))))) 4_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(x1))))))))) -> 4_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{4_1}(x1)))))))) 4_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(x1))))))))) -> 4_{4_1}(4_{3_1}(3_{3_1}(3_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(0_{5_1}(x1)))))))) 3_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(x1)))))))))) -> 3_{5_1}(5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(1_{3_1}(x1))))))))) 3_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{2_1}(x1)))))))))) -> 3_{5_1}(5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(1_{2_1}(x1))))))))) 3_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{1_1}(x1)))))))))) -> 3_{5_1}(5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(1_{1_1}(x1))))))))) 3_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{0_1}(x1)))))))))) -> 3_{5_1}(5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(x1))))))))) 3_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(x1)))))))))) -> 3_{5_1}(5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(1_{4_1}(x1))))))))) 3_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(3_{2_1}(2_{3_1}(3_{4_1}(4_{1_1}(1_{0_1}(0_{5_1}(x1)))))))))) -> 3_{5_1}(5_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(0_{3_1}(3_{4_1}(4_{1_1}(1_{5_1}(x1))))))))) 5_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{3_1}(x1)))))))))))) -> 5_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))) 5_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(x1)))))))))))) -> 5_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))) 5_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{1_1}(x1)))))))))))) -> 5_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))) 5_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{0_1}(x1)))))))))))) -> 5_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))) 5_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{4_1}(x1)))))))))))) -> 5_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))) 5_{1_1}(1_{4_1}(4_{4_1}(4_{2_1}(2_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(4_{4_1}(4_{5_1}(x1)))))))))))) -> 5_{2_1}(2_{5_1}(5_{5_1}(5_{5_1}(5_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))) 3_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{0_1}(0_{3_1}(3_{5_1}(5_{3_1}(x1)))))))))))) -> 3_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(5_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{3_1}(x1))))))))))) 3_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{0_1}(0_{3_1}(3_{5_1}(5_{2_1}(x1)))))))))))) -> 3_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(5_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{2_1}(x1))))))))))) 3_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(x1)))))))))))) -> 3_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(5_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(x1))))))))))) 3_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{0_1}(0_{3_1}(3_{5_1}(5_{0_1}(x1)))))))))))) -> 3_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(5_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{0_1}(x1))))))))))) 3_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{0_1}(0_{3_1}(3_{5_1}(5_{4_1}(x1)))))))))))) -> 3_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(5_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(x1))))))))))) 3_{3_1}(3_{2_1}(2_{2_1}(2_{0_1}(0_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{0_1}(0_{3_1}(3_{5_1}(5_{5_1}(x1)))))))))))) -> 3_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(2_{5_1}(5_{1_1}(1_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(x1))))))))))) 2_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{5_1}(5_{5_1}(5_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{3_1}(x1))))))))))))) -> 2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(x1))))))))))) 2_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{5_1}(5_{5_1}(5_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{2_1}(x1))))))))))))) -> 2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{2_1}(x1))))))))))) 2_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{5_1}(5_{5_1}(5_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{1_1}(x1))))))))))))) -> 2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{1_1}(x1))))))))))) 2_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{5_1}(5_{5_1}(5_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{0_1}(x1))))))))))))) -> 2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{0_1}(x1))))))))))) 2_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{5_1}(5_{5_1}(5_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{4_1}(x1))))))))))))) -> 2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{4_1}(x1))))))))))) 2_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(5_{1_1}(1_{5_1}(5_{5_1}(5_{2_1}(2_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(x1))))))))))))) -> 2_{5_1}(5_{1_1}(1_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(4_{5_1}(5_{5_1}(x1))))))))))) 4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{3_1}(x1))))))))))))) -> 4_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))) 4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{2_1}(x1))))))))))))) -> 4_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))) 4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{1_1}(x1))))))))))))) -> 4_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))) 4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(x1))))))))))))) -> 4_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))) 4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{4_1}(x1))))))))))))) -> 4_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))) 4_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{5_1}(5_{0_1}(0_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(1_{3_1}(3_{0_1}(0_{5_1}(x1))))))))))))) -> 4_{4_1}(4_{2_1}(2_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(4_{0_1}(0_{1_1}(1_{4_1}(4_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))) 3_{2_1}(2_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(2_{3_1}(x1))))))))))))))) -> 3_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(x1))))))))))))))) 3_{2_1}(2_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(2_{2_1}(x1))))))))))))))) -> 3_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(x1))))))))))))))) 3_{2_1}(2_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(x1))))))))))))))) -> 3_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(2_{1_1}(x1))))))))))))))) 3_{2_1}(2_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(x1))))))))))))))) -> 3_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(2_{0_1}(x1))))))))))))))) 3_{2_1}(2_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(2_{4_1}(x1))))))))))))))) -> 3_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(2_{4_1}(x1))))))))))))))) 3_{2_1}(2_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{4_1}(4_{1_1}(1_{5_1}(5_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(x1))))))))))))))) -> 3_{2_1}(2_{5_1}(5_{3_1}(3_{1_1}(1_{5_1}(5_{3_1}(3_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(2_{5_1}(x1))))))))))))))) 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(5_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{3_1}(x1))))))))))))))) -> 5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{4_1}(4_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{3_1}(x1))))))))))))))) 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(5_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{2_1}(x1))))))))))))))) -> 5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{4_1}(4_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(x1))))))))))))))) 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(5_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{1_1}(x1))))))))))))))) -> 5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{4_1}(4_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{1_1}(x1))))))))))))))) 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(5_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{0_1}(x1))))))))))))))) -> 5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{4_1}(4_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{0_1}(x1))))))))))))))) 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(5_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(x1))))))))))))))) -> 5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{4_1}(4_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{4_1}(x1))))))))))))))) 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{3_1}(3_{2_1}(2_{3_1}(3_{5_1}(5_{2_1}(2_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(x1))))))))))))))) -> 5_{3_1}(3_{1_1}(1_{4_1}(4_{4_1}(4_{4_1}(4_{4_1}(4_{1_1}(1_{3_1}(3_{1_1}(1_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{5_1}(x1))))))))))))))) 3_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(2_{3_1}(3_{4_1}(4_{2_1}(2_{5_1}(5_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(0_{3_1}(x1))))))))))))))))) -> 3_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(5_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))) 3_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(2_{3_1}(3_{4_1}(4_{2_1}(2_{5_1}(5_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(0_{2_1}(x1))))))))))))))))) -> 3_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(5_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))) 3_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(2_{3_1}(3_{4_1}(4_{2_1}(2_{5_1}(5_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(x1))))))))))))))))) -> 3_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(5_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))) 3_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(2_{3_1}(3_{4_1}(4_{2_1}(2_{5_1}(5_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(0_{0_1}(x1))))))))))))))))) -> 3_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(5_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))) 3_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(2_{3_1}(3_{4_1}(4_{2_1}(2_{5_1}(5_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(0_{4_1}(x1))))))))))))))))) -> 3_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(5_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))) 3_{1_1}(1_{5_1}(5_{4_1}(4_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{2_1}(2_{3_1}(3_{4_1}(4_{2_1}(2_{5_1}(5_{2_1}(2_{3_1}(3_{2_1}(2_{0_1}(0_{5_1}(x1))))))))))))))))) -> 3_{2_1}(2_{5_1}(5_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{5_1}(5_{1_1}(1_{3_1}(3_{5_1}(5_{2_1}(2_{5_1}(5_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))) 1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{3_1}(3_{3_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{1_1}(1_{5_1}(5_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{3_1}(x1))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{3_1}(3_{2_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{1_1}(1_{5_1}(5_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(x1))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{3_1}(3_{1_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{1_1}(1_{5_1}(5_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{1_1}(x1))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{3_1}(3_{0_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{1_1}(1_{5_1}(5_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{0_1}(x1))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{3_1}(3_{4_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{1_1}(1_{5_1}(5_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(x1))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(3_{0_1}(0_{0_1}(0_{1_1}(1_{2_1}(2_{3_1}(3_{3_1}(3_{5_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{1_1}(1_{5_1}(5_{5_1}(5_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{5_1}(5_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{3_1}(3_{5_1}(x1))))))))))))))))))) 3_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(x1)))))) -> 3_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(x1))))) 3_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(x1)))))) -> 3_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{1_1}(x1))))) 3_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(x1)))))) -> 3_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{0_1}(x1))))) 3_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{4_1}(x1)))))) -> 3_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(x1))))) 3_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(x1)))))) -> 3_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{5_1}(x1))))) 2_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(x1)))))) -> 2_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(x1))))) 2_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(x1)))))) -> 2_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{1_1}(x1))))) 2_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(x1)))))) -> 2_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{0_1}(x1))))) 2_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{4_1}(x1)))))) -> 2_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(x1))))) 2_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(x1)))))) -> 2_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{5_1}(x1))))) 1_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(x1)))))) -> 1_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(x1))))) 1_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(x1)))))) -> 1_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{1_1}(x1))))) 1_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(x1)))))) -> 1_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{0_1}(x1))))) 1_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{4_1}(x1)))))) -> 1_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(x1))))) 1_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(x1)))))) -> 1_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{5_1}(x1))))) 0_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(x1)))))) -> 0_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(x1))))) 0_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(x1)))))) -> 0_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{1_1}(x1))))) 0_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(x1)))))) -> 0_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{0_1}(x1))))) 0_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{4_1}(x1)))))) -> 0_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(x1))))) 0_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(x1)))))) -> 0_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{5_1}(x1))))) 4_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(x1)))))) -> 4_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(x1))))) 4_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(x1)))))) -> 4_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{1_1}(x1))))) 4_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(x1)))))) -> 4_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{0_1}(x1))))) 4_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{4_1}(x1)))))) -> 4_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(x1))))) 4_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(x1)))))) -> 4_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{5_1}(x1))))) 5_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{2_1}(x1)))))) -> 5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{2_1}(x1))))) 5_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{1_1}(x1)))))) -> 5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{1_1}(x1))))) 5_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{0_1}(x1)))))) -> 5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{0_1}(x1))))) 5_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{4_1}(x1)))))) -> 5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{4_1}(x1))))) 5_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{5_1}(x1)))))) -> 5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{5_1}(x1))))) 3_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{3_1}(x1)))))) -> 3_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(x1))))) 3_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{2_1}(x1)))))) -> 3_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(x1))))) 3_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{1_1}(x1)))))) -> 3_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{1_1}(x1))))) 3_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{0_1}(x1)))))) -> 3_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{0_1}(x1))))) 3_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(x1)))))) -> 3_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{4_1}(x1))))) 3_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{5_1}(x1)))))) -> 3_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(x1))))) 2_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{3_1}(x1)))))) -> 2_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(x1))))) 2_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{2_1}(x1)))))) -> 2_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(x1))))) 2_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{1_1}(x1)))))) -> 2_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{1_1}(x1))))) 2_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{0_1}(x1)))))) -> 2_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{0_1}(x1))))) 2_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(x1)))))) -> 2_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{4_1}(x1))))) 2_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{5_1}(x1)))))) -> 2_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(x1))))) 1_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{3_1}(x1)))))) -> 1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(x1))))) 1_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{2_1}(x1)))))) -> 1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(x1))))) 1_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{1_1}(x1)))))) -> 1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{1_1}(x1))))) 1_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{0_1}(x1)))))) -> 1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{0_1}(x1))))) 1_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(x1)))))) -> 1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{4_1}(x1))))) 1_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{5_1}(x1)))))) -> 1_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(x1))))) 0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{3_1}(x1)))))) -> 0_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(x1))))) 0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{2_1}(x1)))))) -> 0_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(x1))))) 0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{1_1}(x1)))))) -> 0_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{1_1}(x1))))) 0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{0_1}(x1)))))) -> 0_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{0_1}(x1))))) 0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(x1)))))) -> 0_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{4_1}(x1))))) 0_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{5_1}(x1)))))) -> 0_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(x1))))) 4_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{3_1}(x1)))))) -> 4_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(x1))))) 4_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{2_1}(x1)))))) -> 4_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(x1))))) 4_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{1_1}(x1)))))) -> 4_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{1_1}(x1))))) 4_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{0_1}(x1)))))) -> 4_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{0_1}(x1))))) 4_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(x1)))))) -> 4_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{4_1}(x1))))) 4_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{5_1}(x1)))))) -> 4_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(x1))))) 5_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{3_1}(x1)))))) -> 5_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{3_1}(x1))))) 5_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{2_1}(x1)))))) -> 5_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{2_1}(x1))))) 5_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{1_1}(x1)))))) -> 5_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{1_1}(x1))))) 5_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{0_1}(x1)))))) -> 5_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{0_1}(x1))))) 5_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{4_1}(x1)))))) -> 5_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{4_1}(x1))))) 5_{2_1}(2_{3_1}(3_{0_1}(0_{3_1}(3_{3_1}(3_{5_1}(x1)))))) -> 5_{1_1}(1_{4_1}(4_{2_1}(2_{3_1}(3_{5_1}(x1))))) 3_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{3_1}(x1)))))) -> 3_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{3_1}(x1))))) 3_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(x1)))))) -> 3_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{2_1}(x1))))) 3_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{1_1}(x1)))))) -> 3_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(x1))))) 3_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(x1)))))) -> 3_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{0_1}(x1))))) 3_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(x1)))))) -> 3_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(x1))))) 3_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(x1)))))) -> 3_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(x1))))) 2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{3_1}(x1)))))) -> 2_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{3_1}(x1))))) 2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(x1)))))) -> 2_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{2_1}(x1))))) 2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{1_1}(x1)))))) -> 2_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(x1))))) 2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(x1)))))) -> 2_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{0_1}(x1))))) 2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(x1)))))) -> 2_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(x1))))) 2_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(x1)))))) -> 2_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(x1))))) 0_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{3_1}(x1)))))) -> 0_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{3_1}(x1))))) 0_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(x1)))))) -> 0_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{2_1}(x1))))) 0_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{1_1}(x1)))))) -> 0_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(x1))))) 0_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(x1)))))) -> 0_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{0_1}(x1))))) 0_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(x1)))))) -> 0_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(x1))))) 0_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(x1)))))) -> 0_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(x1))))) 4_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{3_1}(x1)))))) -> 4_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{3_1}(x1))))) 4_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(x1)))))) -> 4_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{2_1}(x1))))) 4_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{1_1}(x1)))))) -> 4_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(x1))))) 4_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(x1)))))) -> 4_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{0_1}(x1))))) 4_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(x1)))))) -> 4_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(x1))))) 4_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(x1)))))) -> 4_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(x1))))) 5_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{3_1}(x1)))))) -> 5_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{3_1}(x1))))) 5_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(x1)))))) -> 5_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{2_1}(x1))))) 5_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{1_1}(x1)))))) -> 5_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(x1))))) 5_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(x1)))))) -> 5_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{0_1}(x1))))) 5_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(x1)))))) -> 5_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(x1))))) 5_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(x1)))))) -> 5_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(x1))))) 3_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{3_1}(x1)))))) 3_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{2_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(x1)))))) 3_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{1_1}(x1)))))) 3_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{0_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(x1)))))) 3_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(x1)))))) 3_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(x1)))))) 2_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{3_1}(x1)))))) 2_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{2_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(x1)))))) 2_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{1_1}(x1)))))) 2_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{0_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(x1)))))) 2_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(x1)))))) 2_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(x1)))))) 1_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(x1))))))) -> 1_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{3_1}(x1)))))) 1_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{2_1}(x1))))))) -> 1_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(x1)))))) 1_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(x1))))))) -> 1_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{1_1}(x1)))))) 1_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{0_1}(x1))))))) -> 1_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(x1)))))) 1_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(x1))))))) -> 1_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(x1)))))) 1_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(x1))))))) -> 1_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(x1)))))) 0_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{3_1}(x1)))))) 0_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{2_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(x1)))))) 0_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{1_1}(x1)))))) 0_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{0_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(x1)))))) 0_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(x1)))))) 0_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(x1)))))) 4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{3_1}(x1)))))) 4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{2_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(x1)))))) 4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{1_1}(x1)))))) 4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{0_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(x1)))))) 4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(x1)))))) 4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(x1)))))) 5_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{3_1}(x1)))))) 5_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{2_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(x1)))))) 5_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{1_1}(x1)))))) 5_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{0_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(x1)))))) 5_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{4_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(x1)))))) 5_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{5_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(x1)))))) 1_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 1_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))) 1_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 1_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))) 1_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 1_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))) 1_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 1_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))) 1_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 1_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))) 1_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 1_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))) 3_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(x1)))))))))) -> 3_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))) 3_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{2_1}(x1)))))))))) -> 3_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))) 3_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(x1)))))))))) -> 3_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))) 3_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(x1)))))))))) -> 3_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))) 3_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{4_1}(x1)))))))))) -> 3_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))) 3_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(x1)))))))))) -> 3_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))) 2_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(x1)))))))))) -> 2_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))) 2_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{2_1}(x1)))))))))) -> 2_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))) 2_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(x1)))))))))) -> 2_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))) 2_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(x1)))))))))) -> 2_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))) 2_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{4_1}(x1)))))))))) -> 2_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))) 2_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(x1)))))))))) -> 2_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))) 1_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(x1)))))))))) -> 1_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))) 1_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{2_1}(x1)))))))))) -> 1_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))) 1_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(x1)))))))))) -> 1_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))) 1_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(x1)))))))))) -> 1_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))) 1_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{4_1}(x1)))))))))) -> 1_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))) 1_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(x1)))))))))) -> 1_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))) 0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(x1)))))))))) -> 0_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))) 0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{2_1}(x1)))))))))) -> 0_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))) 0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(x1)))))))))) -> 0_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))) 0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(x1)))))))))) -> 0_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))) 0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{4_1}(x1)))))))))) -> 0_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))) 0_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(x1)))))))))) -> 0_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))) 4_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(x1)))))))))) -> 4_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))) 4_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{2_1}(x1)))))))))) -> 4_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))) 4_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(x1)))))))))) -> 4_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))) 4_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(x1)))))))))) -> 4_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))) 4_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{4_1}(x1)))))))))) -> 4_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))) 4_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(x1)))))))))) -> 4_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))) 5_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{3_1}(x1)))))))))) -> 5_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{3_1}(x1))))))))) 5_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{2_1}(x1)))))))))) -> 5_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{2_1}(x1))))))))) 5_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{1_1}(x1)))))))))) -> 5_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{1_1}(x1))))))))) 5_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{0_1}(x1)))))))))) -> 5_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{0_1}(x1))))))))) 5_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{4_1}(x1)))))))))) -> 5_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{4_1}(x1))))))))) 5_{2_1}(2_{3_1}(3_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(x1)))))))))) -> 5_{1_1}(1_{3_1}(3_{3_1}(3_{1_1}(1_{4_1}(4_{3_1}(3_{4_1}(4_{3_1}(3_{5_1}(x1))))))))) ---------------------------------------- (8) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: 2_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1))))))))))) -> 2_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))) 2_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1))))))))))) -> 2_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))) 2_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1))))))))))) -> 2_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))) 2_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1))))))))))) -> 2_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))) 2_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1))))))))))) -> 2_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))) 2_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1))))))))))) -> 2_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))) 3_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{1_1}(1_{3_1}(x1))))))))))))))) -> 3_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{1_1}(1_{3_1}(x1))))))))))))))) 3_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(x1))))))))))))))) -> 3_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(x1))))))))))))))) 3_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{1_1}(1_{1_1}(x1))))))))))))))) -> 3_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(x1))))))))))))))) 3_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(x1))))))))))))))) -> 3_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(x1))))))))))))))) 3_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{1_1}(1_{4_1}(x1))))))))))))))) -> 3_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{1_1}(1_{4_1}(x1))))))))))))))) 3_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(x1))))))))))))))) -> 3_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(x1))))))))))))))) 4_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(x1))))))))))))))))) -> 4_{5_1}(5_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{3_1}(x1)))))))))))))))) 4_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x1))))))))))))))))) -> 4_{5_1}(5_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(x1)))))))))))))))) 4_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x1))))))))))))))))) -> 4_{5_1}(5_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(x1)))))))))))))))) 4_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x1))))))))))))))))) -> 4_{5_1}(5_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(x1)))))))))))))))) 4_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(x1))))))))))))))))) -> 4_{5_1}(5_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{4_1}(x1)))))))))))))))) 4_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(x1))))))))))))))))) -> 4_{5_1}(5_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{5_1}(x1)))))))))))))))) 3_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(x1)))))) -> 3_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{3_1}(x1))))) 2_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(x1)))))) -> 2_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{3_1}(x1))))) 1_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(x1)))))) -> 1_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{3_1}(x1))))) 0_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(x1)))))) -> 0_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{3_1}(x1))))) 4_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(x1)))))) -> 4_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{3_1}(x1))))) 5_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(x1)))))) -> 5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{3_1}(x1))))) 1_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{3_1}(x1)))))) -> 1_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{3_1}(x1))))) 1_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(x1)))))) -> 1_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{2_1}(x1))))) 1_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{1_1}(x1)))))) -> 1_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(x1))))) 1_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(x1)))))) -> 1_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{0_1}(x1))))) 1_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(x1)))))) -> 1_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(x1))))) 1_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(x1)))))) -> 1_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(x1))))) 3_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))) 3_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))) 3_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))) 3_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))) 3_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))) 3_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))) 2_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))) 2_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))) 2_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))) 2_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))) 2_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))) 2_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) Q is empty. ---------------------------------------- (9) QTRSRRRProof (EQUIVALENT) Used ordering: Polynomial interpretation [POLO]: POL(0_{0_1}(x_1)) = 1 + x_1 POL(0_{1_1}(x_1)) = x_1 POL(0_{2_1}(x_1)) = 4 + x_1 POL(0_{3_1}(x_1)) = 7 + x_1 POL(0_{4_1}(x_1)) = x_1 POL(0_{5_1}(x_1)) = x_1 POL(1_{0_1}(x_1)) = 1 + x_1 POL(1_{1_1}(x_1)) = x_1 POL(1_{2_1}(x_1)) = 4 + x_1 POL(1_{3_1}(x_1)) = x_1 POL(1_{4_1}(x_1)) = x_1 POL(1_{5_1}(x_1)) = 3 + x_1 POL(2_{0_1}(x_1)) = 1 + x_1 POL(2_{1_1}(x_1)) = x_1 POL(2_{2_1}(x_1)) = 4 + x_1 POL(2_{3_1}(x_1)) = 5 + x_1 POL(2_{4_1}(x_1)) = x_1 POL(2_{5_1}(x_1)) = x_1 POL(3_{0_1}(x_1)) = 1 + x_1 POL(3_{1_1}(x_1)) = x_1 POL(3_{2_1}(x_1)) = 4 + x_1 POL(3_{3_1}(x_1)) = x_1 POL(3_{4_1}(x_1)) = x_1 POL(3_{5_1}(x_1)) = x_1 POL(4_{0_1}(x_1)) = 3 + x_1 POL(4_{1_1}(x_1)) = 2 + x_1 POL(4_{2_1}(x_1)) = 6 + x_1 POL(4_{3_1}(x_1)) = 6 + x_1 POL(4_{4_1}(x_1)) = 2 + x_1 POL(4_{5_1}(x_1)) = 2 + x_1 POL(5_{0_1}(x_1)) = 2 + x_1 POL(5_{1_1}(x_1)) = 1 + x_1 POL(5_{2_1}(x_1)) = 5 + x_1 POL(5_{3_1}(x_1)) = 2 + x_1 POL(5_{4_1}(x_1)) = 1 + x_1 POL(5_{5_1}(x_1)) = 1 + x_1 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 3_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(x1)))))) -> 3_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{3_1}(x1))))) 2_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(x1)))))) -> 2_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{3_1}(x1))))) 1_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(x1)))))) -> 1_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{3_1}(x1))))) 0_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(x1)))))) -> 0_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{3_1}(x1))))) 4_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(x1)))))) -> 4_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{3_1}(x1))))) 5_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(2_{1_1}(1_{3_1}(x1)))))) -> 5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(3_{3_1}(x1))))) ---------------------------------------- (10) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: 2_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1))))))))))) -> 2_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))) 2_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1))))))))))) -> 2_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))) 2_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1))))))))))) -> 2_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))) 2_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1))))))))))) -> 2_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))) 2_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1))))))))))) -> 2_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))) 2_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1))))))))))) -> 2_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))) 3_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{1_1}(1_{3_1}(x1))))))))))))))) -> 3_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{1_1}(1_{3_1}(x1))))))))))))))) 3_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(x1))))))))))))))) -> 3_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(x1))))))))))))))) 3_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{1_1}(1_{1_1}(x1))))))))))))))) -> 3_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(x1))))))))))))))) 3_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(x1))))))))))))))) -> 3_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(x1))))))))))))))) 3_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{1_1}(1_{4_1}(x1))))))))))))))) -> 3_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{1_1}(1_{4_1}(x1))))))))))))))) 3_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(x1))))))))))))))) -> 3_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(x1))))))))))))))) 4_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(x1))))))))))))))))) -> 4_{5_1}(5_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{3_1}(x1)))))))))))))))) 4_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x1))))))))))))))))) -> 4_{5_1}(5_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(x1)))))))))))))))) 4_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x1))))))))))))))))) -> 4_{5_1}(5_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(x1)))))))))))))))) 4_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x1))))))))))))))))) -> 4_{5_1}(5_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(x1)))))))))))))))) 4_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(x1))))))))))))))))) -> 4_{5_1}(5_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{4_1}(x1)))))))))))))))) 4_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(x1))))))))))))))))) -> 4_{5_1}(5_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{5_1}(x1)))))))))))))))) 1_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{3_1}(x1)))))) -> 1_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{3_1}(x1))))) 1_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(x1)))))) -> 1_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{2_1}(x1))))) 1_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{1_1}(x1)))))) -> 1_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(x1))))) 1_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(x1)))))) -> 1_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{0_1}(x1))))) 1_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(x1)))))) -> 1_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(x1))))) 1_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(x1)))))) -> 1_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(x1))))) 3_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))) 3_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))) 3_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))) 3_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))) 3_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))) 3_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))) 2_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))) 2_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))) 2_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))) 2_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))) 2_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))) 2_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) Q is empty. ---------------------------------------- (11) QTRSRRRProof (EQUIVALENT) Used ordering: Polynomial interpretation [POLO]: POL(0_{0_1}(x_1)) = x_1 POL(0_{1_1}(x_1)) = x_1 POL(0_{2_1}(x_1)) = x_1 POL(0_{3_1}(x_1)) = x_1 POL(0_{4_1}(x_1)) = x_1 POL(0_{5_1}(x_1)) = x_1 POL(1_{0_1}(x_1)) = x_1 POL(1_{1_1}(x_1)) = x_1 POL(1_{2_1}(x_1)) = x_1 POL(1_{3_1}(x_1)) = 1 + x_1 POL(1_{4_1}(x_1)) = x_1 POL(1_{5_1}(x_1)) = x_1 POL(2_{0_1}(x_1)) = x_1 POL(2_{1_1}(x_1)) = x_1 POL(2_{2_1}(x_1)) = x_1 POL(2_{3_1}(x_1)) = x_1 POL(2_{4_1}(x_1)) = x_1 POL(2_{5_1}(x_1)) = x_1 POL(3_{0_1}(x_1)) = x_1 POL(3_{1_1}(x_1)) = x_1 POL(3_{2_1}(x_1)) = x_1 POL(3_{3_1}(x_1)) = x_1 POL(3_{4_1}(x_1)) = x_1 POL(3_{5_1}(x_1)) = x_1 POL(4_{0_1}(x_1)) = x_1 POL(4_{1_1}(x_1)) = x_1 POL(4_{2_1}(x_1)) = x_1 POL(4_{3_1}(x_1)) = x_1 POL(4_{4_1}(x_1)) = x_1 POL(4_{5_1}(x_1)) = x_1 POL(5_{0_1}(x_1)) = x_1 POL(5_{1_1}(x_1)) = x_1 POL(5_{2_1}(x_1)) = x_1 POL(5_{3_1}(x_1)) = x_1 POL(5_{4_1}(x_1)) = x_1 POL(5_{5_1}(x_1)) = x_1 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 2_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{3_1}(x1))))))))))) -> 2_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))) 2_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{2_1}(x1))))))))))) -> 2_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))) 2_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{1_1}(x1))))))))))) -> 2_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))) 2_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{0_1}(x1))))))))))) -> 2_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))) 2_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{4_1}(x1))))))))))) -> 2_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))) 2_{2_1}(2_{4_1}(4_{1_1}(1_{3_1}(3_{4_1}(4_{0_1}(0_{5_1}(5_{1_1}(1_{2_1}(2_{0_1}(0_{5_1}(x1))))))))))) -> 2_{4_1}(4_{4_1}(4_{5_1}(5_{0_1}(0_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(4_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))) ---------------------------------------- (12) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: 3_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{1_1}(1_{3_1}(x1))))))))))))))) -> 3_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{1_1}(1_{3_1}(x1))))))))))))))) 3_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(x1))))))))))))))) -> 3_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(x1))))))))))))))) 3_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{1_1}(1_{1_1}(x1))))))))))))))) -> 3_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(x1))))))))))))))) 3_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(x1))))))))))))))) -> 3_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(x1))))))))))))))) 3_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{1_1}(1_{4_1}(x1))))))))))))))) -> 3_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{1_1}(1_{4_1}(x1))))))))))))))) 3_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(x1))))))))))))))) -> 3_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(x1))))))))))))))) 4_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(x1))))))))))))))))) -> 4_{5_1}(5_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{3_1}(x1)))))))))))))))) 4_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x1))))))))))))))))) -> 4_{5_1}(5_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(x1)))))))))))))))) 4_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x1))))))))))))))))) -> 4_{5_1}(5_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(x1)))))))))))))))) 4_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x1))))))))))))))))) -> 4_{5_1}(5_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(x1)))))))))))))))) 4_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(x1))))))))))))))))) -> 4_{5_1}(5_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{4_1}(x1)))))))))))))))) 4_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(x1))))))))))))))))) -> 4_{5_1}(5_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{5_1}(x1)))))))))))))))) 1_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{3_1}(x1)))))) -> 1_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{3_1}(x1))))) 1_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(x1)))))) -> 1_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{2_1}(x1))))) 1_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{1_1}(x1)))))) -> 1_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(x1))))) 1_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(x1)))))) -> 1_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{0_1}(x1))))) 1_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(x1)))))) -> 1_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(x1))))) 1_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(x1)))))) -> 1_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(x1))))) 3_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))) 3_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))) 3_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))) 3_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))) 3_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))) 3_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))) 2_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))) 2_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))) 2_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))) 2_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))) 2_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))) 2_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) Q is empty. ---------------------------------------- (13) QTRSRRRProof (EQUIVALENT) Used ordering: Polynomial interpretation [POLO]: POL(0_{0_1}(x_1)) = x_1 POL(0_{1_1}(x_1)) = x_1 POL(0_{2_1}(x_1)) = x_1 POL(0_{3_1}(x_1)) = 4 + x_1 POL(0_{4_1}(x_1)) = 10 + x_1 POL(0_{5_1}(x_1)) = x_1 POL(1_{0_1}(x_1)) = 4 + x_1 POL(1_{1_1}(x_1)) = 4 + x_1 POL(1_{2_1}(x_1)) = 4 + x_1 POL(1_{3_1}(x_1)) = x_1 POL(1_{4_1}(x_1)) = 14 + x_1 POL(1_{5_1}(x_1)) = 2 + x_1 POL(2_{0_1}(x_1)) = 4 + x_1 POL(2_{1_1}(x_1)) = 4 + x_1 POL(2_{2_1}(x_1)) = 4 + x_1 POL(2_{3_1}(x_1)) = x_1 POL(2_{4_1}(x_1)) = 14 + x_1 POL(2_{5_1}(x_1)) = 4 + x_1 POL(3_{0_1}(x_1)) = x_1 POL(3_{1_1}(x_1)) = x_1 POL(3_{2_1}(x_1)) = x_1 POL(3_{3_1}(x_1)) = 6 + x_1 POL(3_{4_1}(x_1)) = 10 + x_1 POL(3_{5_1}(x_1)) = x_1 POL(4_{0_1}(x_1)) = x_1 POL(4_{1_1}(x_1)) = x_1 POL(4_{2_1}(x_1)) = x_1 POL(4_{3_1}(x_1)) = 12 + x_1 POL(4_{4_1}(x_1)) = 10 + x_1 POL(4_{5_1}(x_1)) = x_1 POL(5_{0_1}(x_1)) = 5 + x_1 POL(5_{1_1}(x_1)) = 5 + x_1 POL(5_{2_1}(x_1)) = 5 + x_1 POL(5_{3_1}(x_1)) = 10 + x_1 POL(5_{4_1}(x_1)) = 15 + x_1 POL(5_{5_1}(x_1)) = 5 + x_1 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 3_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{1_1}(1_{3_1}(x1))))))))))))))) -> 3_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{1_1}(1_{3_1}(x1))))))))))))))) 3_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{1_1}(1_{2_1}(x1))))))))))))))) -> 3_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{1_1}(1_{2_1}(x1))))))))))))))) 3_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{1_1}(1_{1_1}(x1))))))))))))))) -> 3_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{1_1}(1_{1_1}(x1))))))))))))))) 3_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{1_1}(1_{0_1}(x1))))))))))))))) -> 3_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{1_1}(1_{0_1}(x1))))))))))))))) 3_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{1_1}(1_{4_1}(x1))))))))))))))) -> 3_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{1_1}(1_{4_1}(x1))))))))))))))) 3_{0_1}(0_{4_1}(4_{1_1}(1_{0_1}(0_{4_1}(4_{3_1}(3_{5_1}(5_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{1_1}(1_{5_1}(x1))))))))))))))) -> 3_{3_1}(3_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{0_1}(0_{2_1}(2_{3_1}(3_{0_1}(0_{5_1}(5_{4_1}(4_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(x1))))))))))))))) ---------------------------------------- (14) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: 4_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(x1))))))))))))))))) -> 4_{5_1}(5_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{3_1}(x1)))))))))))))))) 4_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x1))))))))))))))))) -> 4_{5_1}(5_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(x1)))))))))))))))) 4_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x1))))))))))))))))) -> 4_{5_1}(5_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(x1)))))))))))))))) 4_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x1))))))))))))))))) -> 4_{5_1}(5_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(x1)))))))))))))))) 4_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(x1))))))))))))))))) -> 4_{5_1}(5_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{4_1}(x1)))))))))))))))) 4_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(x1))))))))))))))))) -> 4_{5_1}(5_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{5_1}(x1)))))))))))))))) 1_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{3_1}(x1)))))) -> 1_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{3_1}(x1))))) 1_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(x1)))))) -> 1_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{2_1}(x1))))) 1_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{1_1}(x1)))))) -> 1_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(x1))))) 1_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(x1)))))) -> 1_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{0_1}(x1))))) 1_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(x1)))))) -> 1_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(x1))))) 1_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(x1)))))) -> 1_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(x1))))) 3_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))) 3_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))) 3_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))) 3_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))) 3_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))) 3_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))) 2_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))) 2_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))) 2_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))) 2_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))) 2_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))) 2_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) Q is empty. ---------------------------------------- (15) QTRSRRRProof (EQUIVALENT) Used ordering: Polynomial interpretation [POLO]: POL(0_{0_1}(x_1)) = x_1 POL(0_{1_1}(x_1)) = x_1 POL(0_{2_1}(x_1)) = x_1 POL(0_{3_1}(x_1)) = x_1 POL(0_{4_1}(x_1)) = x_1 POL(0_{5_1}(x_1)) = x_1 POL(1_{0_1}(x_1)) = x_1 POL(1_{1_1}(x_1)) = x_1 POL(1_{2_1}(x_1)) = x_1 POL(1_{4_1}(x_1)) = x_1 POL(1_{5_1}(x_1)) = x_1 POL(2_{0_1}(x_1)) = x_1 POL(2_{1_1}(x_1)) = x_1 POL(2_{2_1}(x_1)) = x_1 POL(2_{3_1}(x_1)) = x_1 POL(2_{4_1}(x_1)) = x_1 POL(2_{5_1}(x_1)) = x_1 POL(3_{0_1}(x_1)) = x_1 POL(3_{1_1}(x_1)) = x_1 POL(3_{2_1}(x_1)) = x_1 POL(3_{3_1}(x_1)) = x_1 POL(3_{4_1}(x_1)) = x_1 POL(3_{5_1}(x_1)) = x_1 POL(4_{0_1}(x_1)) = 1 + x_1 POL(4_{1_1}(x_1)) = 1 + x_1 POL(4_{2_1}(x_1)) = 1 + x_1 POL(4_{3_1}(x_1)) = 3 + x_1 POL(4_{4_1}(x_1)) = 1 + x_1 POL(4_{5_1}(x_1)) = 1 + x_1 POL(5_{0_1}(x_1)) = x_1 POL(5_{1_1}(x_1)) = x_1 POL(5_{2_1}(x_1)) = x_1 POL(5_{3_1}(x_1)) = 1 + x_1 POL(5_{4_1}(x_1)) = x_1 POL(5_{5_1}(x_1)) = x_1 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 4_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{3_1}(x1))))))))))))))))) -> 4_{5_1}(5_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{3_1}(x1)))))))))))))))) 4_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{2_1}(x1))))))))))))))))) -> 4_{5_1}(5_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{2_1}(x1)))))))))))))))) 4_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{1_1}(x1))))))))))))))))) -> 4_{5_1}(5_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{1_1}(x1)))))))))))))))) 4_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{0_1}(x1))))))))))))))))) -> 4_{5_1}(5_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{0_1}(x1)))))))))))))))) 4_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{4_1}(x1))))))))))))))))) -> 4_{5_1}(5_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{4_1}(x1)))))))))))))))) 4_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{0_1}(0_{4_1}(4_{2_1}(2_{2_1}(2_{4_1}(4_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(5_{1_1}(1_{1_1}(1_{0_1}(0_{5_1}(x1))))))))))))))))) -> 4_{5_1}(5_{5_1}(5_{2_1}(2_{2_1}(2_{2_1}(2_{0_1}(0_{4_1}(4_{4_1}(4_{5_1}(5_{1_1}(1_{0_1}(0_{2_1}(2_{2_1}(2_{4_1}(4_{0_1}(0_{5_1}(x1)))))))))))))))) ---------------------------------------- (16) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: 1_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{3_1}(x1)))))) -> 1_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{3_1}(x1))))) 1_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(x1)))))) -> 1_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{2_1}(x1))))) 1_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{1_1}(x1)))))) -> 1_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(x1))))) 1_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(x1)))))) -> 1_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{0_1}(x1))))) 1_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(x1)))))) -> 1_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(x1))))) 1_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(x1)))))) -> 1_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(x1))))) 3_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))) 3_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))) 3_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))) 3_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))) 3_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))) 3_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))) 2_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))) 2_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))) 2_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))) 2_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))) 2_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))) 2_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) Q is empty. ---------------------------------------- (17) QTRSRRRProof (EQUIVALENT) Used ordering: Polynomial interpretation [POLO]: POL(0_{0_1}(x_1)) = x_1 POL(0_{1_1}(x_1)) = x_1 POL(0_{2_1}(x_1)) = x_1 POL(0_{3_1}(x_1)) = 2 + x_1 POL(0_{4_1}(x_1)) = x_1 POL(0_{5_1}(x_1)) = x_1 POL(1_{0_1}(x_1)) = x_1 POL(1_{1_1}(x_1)) = x_1 POL(1_{2_1}(x_1)) = x_1 POL(1_{4_1}(x_1)) = x_1 POL(1_{5_1}(x_1)) = x_1 POL(2_{0_1}(x_1)) = 1 + x_1 POL(2_{1_1}(x_1)) = 1 + x_1 POL(2_{2_1}(x_1)) = 1 + x_1 POL(2_{3_1}(x_1)) = 1 + x_1 POL(2_{4_1}(x_1)) = 1 + x_1 POL(2_{5_1}(x_1)) = 1 + x_1 POL(3_{0_1}(x_1)) = x_1 POL(3_{1_1}(x_1)) = x_1 POL(3_{2_1}(x_1)) = x_1 POL(3_{3_1}(x_1)) = x_1 POL(3_{4_1}(x_1)) = x_1 POL(3_{5_1}(x_1)) = x_1 POL(4_{0_1}(x_1)) = x_1 POL(4_{1_1}(x_1)) = x_1 POL(4_{2_1}(x_1)) = x_1 POL(4_{3_1}(x_1)) = x_1 POL(4_{4_1}(x_1)) = x_1 POL(4_{5_1}(x_1)) = x_1 POL(5_{0_1}(x_1)) = x_1 POL(5_{1_1}(x_1)) = x_1 POL(5_{2_1}(x_1)) = x_1 POL(5_{3_1}(x_1)) = x_1 POL(5_{4_1}(x_1)) = x_1 POL(5_{5_1}(x_1)) = x_1 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 1_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{3_1}(x1)))))) -> 1_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{3_1}(x1))))) 1_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{2_1}(x1)))))) -> 1_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{2_1}(x1))))) 1_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{1_1}(x1)))))) -> 1_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{1_1}(x1))))) 1_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{0_1}(x1)))))) -> 1_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{0_1}(x1))))) 1_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{4_1}(x1)))))) -> 1_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(x1))))) 1_{4_1}(4_{0_1}(0_{1_1}(1_{2_1}(2_{5_1}(5_{5_1}(x1)))))) -> 1_{5_1}(5_{4_1}(4_{5_1}(5_{5_1}(5_{5_1}(x1))))) ---------------------------------------- (18) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: 3_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))) 3_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))) 3_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))) 3_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))) 3_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))) 3_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))) 2_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))) 2_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))) 2_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))) 2_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))) 2_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))) 2_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) Q is empty. ---------------------------------------- (19) QTRSRRRProof (EQUIVALENT) Used ordering: Polynomial interpretation [POLO]: POL(0_{0_1}(x_1)) = x_1 POL(0_{1_1}(x_1)) = x_1 POL(0_{2_1}(x_1)) = x_1 POL(0_{3_1}(x_1)) = 1 + x_1 POL(0_{4_1}(x_1)) = x_1 POL(0_{5_1}(x_1)) = x_1 POL(1_{0_1}(x_1)) = x_1 POL(1_{1_1}(x_1)) = x_1 POL(1_{2_1}(x_1)) = x_1 POL(1_{4_1}(x_1)) = x_1 POL(1_{5_1}(x_1)) = x_1 POL(2_{0_1}(x_1)) = x_1 POL(2_{1_1}(x_1)) = x_1 POL(2_{2_1}(x_1)) = x_1 POL(2_{3_1}(x_1)) = 1 + x_1 POL(2_{4_1}(x_1)) = x_1 POL(2_{5_1}(x_1)) = x_1 POL(3_{0_1}(x_1)) = x_1 POL(3_{1_1}(x_1)) = x_1 POL(3_{2_1}(x_1)) = x_1 POL(3_{3_1}(x_1)) = x_1 POL(3_{4_1}(x_1)) = x_1 POL(3_{5_1}(x_1)) = 1 + x_1 POL(4_{0_1}(x_1)) = x_1 POL(4_{1_1}(x_1)) = x_1 POL(4_{2_1}(x_1)) = x_1 POL(4_{3_1}(x_1)) = x_1 POL(4_{4_1}(x_1)) = x_1 POL(4_{5_1}(x_1)) = x_1 POL(5_{0_1}(x_1)) = x_1 POL(5_{1_1}(x_1)) = x_1 POL(5_{2_1}(x_1)) = x_1 POL(5_{3_1}(x_1)) = x_1 POL(5_{4_1}(x_1)) = x_1 POL(5_{5_1}(x_1)) = x_1 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 3_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))) 3_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))) 3_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))) 3_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))) 3_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))) 3_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 3_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))) ---------------------------------------- (20) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: 2_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))) 2_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))) 2_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))) 2_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))) 2_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))) 2_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) Q is empty. ---------------------------------------- (21) QTRSRRRProof (EQUIVALENT) Used ordering: Polynomial interpretation [POLO]: POL(0_{0_1}(x_1)) = x_1 POL(0_{1_1}(x_1)) = x_1 POL(0_{2_1}(x_1)) = x_1 POL(0_{3_1}(x_1)) = 1 + x_1 POL(0_{4_1}(x_1)) = x_1 POL(0_{5_1}(x_1)) = x_1 POL(1_{0_1}(x_1)) = x_1 POL(1_{1_1}(x_1)) = x_1 POL(1_{2_1}(x_1)) = x_1 POL(1_{4_1}(x_1)) = x_1 POL(1_{5_1}(x_1)) = x_1 POL(2_{0_1}(x_1)) = x_1 POL(2_{1_1}(x_1)) = x_1 POL(2_{2_1}(x_1)) = x_1 POL(2_{3_1}(x_1)) = 2 + x_1 POL(2_{4_1}(x_1)) = x_1 POL(2_{5_1}(x_1)) = 1 + x_1 POL(3_{0_1}(x_1)) = x_1 POL(3_{1_1}(x_1)) = x_1 POL(3_{2_1}(x_1)) = x_1 POL(3_{3_1}(x_1)) = 1 + x_1 POL(3_{4_1}(x_1)) = x_1 POL(3_{5_1}(x_1)) = x_1 POL(4_{0_1}(x_1)) = x_1 POL(4_{1_1}(x_1)) = x_1 POL(4_{2_1}(x_1)) = x_1 POL(4_{3_1}(x_1)) = x_1 POL(4_{4_1}(x_1)) = x_1 POL(4_{5_1}(x_1)) = x_1 POL(5_{0_1}(x_1)) = x_1 POL(5_{1_1}(x_1)) = x_1 POL(5_{2_1}(x_1)) = x_1 POL(5_{3_1}(x_1)) = x_1 POL(5_{4_1}(x_1)) = x_1 POL(5_{5_1}(x_1)) = x_1 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 2_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))) 2_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))) 2_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))) 2_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))) 2_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))) 2_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 2_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))) ---------------------------------------- (22) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) Q is empty. ---------------------------------------- (23) QTRSRRRProof (EQUIVALENT) Used ordering: Polynomial interpretation [POLO]: POL(0_{0_1}(x_1)) = x_1 POL(0_{1_1}(x_1)) = x_1 POL(0_{2_1}(x_1)) = x_1 POL(0_{3_1}(x_1)) = x_1 POL(0_{4_1}(x_1)) = 1 + x_1 POL(0_{5_1}(x_1)) = 2 + x_1 POL(1_{0_1}(x_1)) = 1 + x_1 POL(1_{1_1}(x_1)) = 1 + x_1 POL(1_{2_1}(x_1)) = 1 + x_1 POL(1_{4_1}(x_1)) = 2 + x_1 POL(1_{5_1}(x_1)) = 2 + x_1 POL(2_{0_1}(x_1)) = x_1 POL(2_{1_1}(x_1)) = x_1 POL(2_{2_1}(x_1)) = x_1 POL(2_{3_1}(x_1)) = x_1 POL(2_{4_1}(x_1)) = 1 + x_1 POL(2_{5_1}(x_1)) = x_1 POL(3_{0_1}(x_1)) = x_1 POL(3_{1_1}(x_1)) = x_1 POL(3_{2_1}(x_1)) = x_1 POL(3_{3_1}(x_1)) = x_1 POL(3_{4_1}(x_1)) = 1 + x_1 POL(3_{5_1}(x_1)) = x_1 POL(4_{0_1}(x_1)) = x_1 POL(4_{1_1}(x_1)) = x_1 POL(4_{2_1}(x_1)) = x_1 POL(4_{3_1}(x_1)) = 3 + x_1 POL(4_{4_1}(x_1)) = 1 + x_1 POL(4_{5_1}(x_1)) = 1 + x_1 POL(5_{0_1}(x_1)) = x_1 POL(5_{1_1}(x_1)) = x_1 POL(5_{2_1}(x_1)) = x_1 POL(5_{3_1}(x_1)) = x_1 POL(5_{4_1}(x_1)) = 1 + x_1 POL(5_{5_1}(x_1)) = 1 + x_1 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))) 0_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 0_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))) ---------------------------------------- (24) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) Q is empty. ---------------------------------------- (25) QTRSRRRProof (EQUIVALENT) Used ordering: Polynomial interpretation [POLO]: POL(0_{0_1}(x_1)) = x_1 POL(0_{1_1}(x_1)) = x_1 POL(0_{2_1}(x_1)) = x_1 POL(0_{3_1}(x_1)) = x_1 POL(0_{4_1}(x_1)) = x_1 POL(0_{5_1}(x_1)) = x_1 POL(1_{0_1}(x_1)) = x_1 POL(1_{1_1}(x_1)) = x_1 POL(1_{2_1}(x_1)) = x_1 POL(1_{4_1}(x_1)) = x_1 POL(1_{5_1}(x_1)) = x_1 POL(2_{0_1}(x_1)) = x_1 POL(2_{1_1}(x_1)) = x_1 POL(2_{2_1}(x_1)) = x_1 POL(2_{3_1}(x_1)) = 5 + x_1 POL(2_{4_1}(x_1)) = x_1 POL(2_{5_1}(x_1)) = 3 + x_1 POL(3_{0_1}(x_1)) = 1 + x_1 POL(3_{1_1}(x_1)) = 1 + x_1 POL(3_{2_1}(x_1)) = 1 + x_1 POL(3_{3_1}(x_1)) = 2 + x_1 POL(3_{4_1}(x_1)) = 1 + x_1 POL(3_{5_1}(x_1)) = x_1 POL(4_{0_1}(x_1)) = x_1 POL(4_{1_1}(x_1)) = x_1 POL(4_{2_1}(x_1)) = x_1 POL(4_{3_1}(x_1)) = x_1 POL(4_{4_1}(x_1)) = x_1 POL(4_{5_1}(x_1)) = 1 + x_1 POL(5_{0_1}(x_1)) = x_1 POL(5_{1_1}(x_1)) = x_1 POL(5_{2_1}(x_1)) = x_1 POL(5_{3_1}(x_1)) = x_1 POL(5_{4_1}(x_1)) = x_1 POL(5_{5_1}(x_1)) = x_1 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))) 4_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 4_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))) ---------------------------------------- (26) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) Q is empty. ---------------------------------------- (27) QTRSRRRProof (EQUIVALENT) Used ordering: Polynomial interpretation [POLO]: POL(0_{0_1}(x_1)) = x_1 POL(0_{1_1}(x_1)) = x_1 POL(0_{2_1}(x_1)) = x_1 POL(0_{3_1}(x_1)) = x_1 POL(0_{4_1}(x_1)) = x_1 POL(0_{5_1}(x_1)) = 1 + x_1 POL(1_{0_1}(x_1)) = x_1 POL(1_{1_1}(x_1)) = x_1 POL(1_{2_1}(x_1)) = x_1 POL(1_{4_1}(x_1)) = x_1 POL(1_{5_1}(x_1)) = x_1 POL(2_{0_1}(x_1)) = x_1 POL(2_{1_1}(x_1)) = x_1 POL(2_{2_1}(x_1)) = x_1 POL(2_{3_1}(x_1)) = 3 + x_1 POL(2_{4_1}(x_1)) = x_1 POL(2_{5_1}(x_1)) = 1 + x_1 POL(3_{0_1}(x_1)) = 1 + x_1 POL(3_{1_1}(x_1)) = 1 + x_1 POL(3_{2_1}(x_1)) = 1 + x_1 POL(3_{3_1}(x_1)) = x_1 POL(3_{4_1}(x_1)) = 1 + x_1 POL(3_{5_1}(x_1)) = x_1 POL(4_{0_1}(x_1)) = x_1 POL(4_{1_1}(x_1)) = x_1 POL(4_{2_1}(x_1)) = x_1 POL(4_{3_1}(x_1)) = x_1 POL(4_{4_1}(x_1)) = x_1 POL(4_{5_1}(x_1)) = x_1 POL(5_{0_1}(x_1)) = x_1 POL(5_{1_1}(x_1)) = x_1 POL(5_{2_1}(x_1)) = x_1 POL(5_{3_1}(x_1)) = x_1 POL(5_{4_1}(x_1)) = x_1 POL(5_{5_1}(x_1)) = x_1 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{3_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{2_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{1_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{0_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{4_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))) 5_{5_1}(5_{5_1}(5_{1_1}(1_{5_1}(5_{3_1}(3_{0_1}(0_{5_1}(x1))))))) -> 5_{4_1}(4_{5_1}(5_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))) ---------------------------------------- (28) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) Q is empty. ---------------------------------------- (29) QTRSRRRProof (EQUIVALENT) Used ordering: Polynomial interpretation [POLO]: POL(0_{0_1}(x_1)) = x_1 POL(0_{1_1}(x_1)) = 1 + x_1 POL(0_{2_1}(x_1)) = x_1 POL(0_{3_1}(x_1)) = 1 + x_1 POL(0_{4_1}(x_1)) = 1 + x_1 POL(0_{5_1}(x_1)) = 1 + x_1 POL(1_{0_1}(x_1)) = x_1 POL(1_{1_1}(x_1)) = 1 + x_1 POL(1_{2_1}(x_1)) = x_1 POL(1_{4_1}(x_1)) = 1 + x_1 POL(1_{5_1}(x_1)) = x_1 POL(2_{0_1}(x_1)) = x_1 POL(2_{1_1}(x_1)) = 1 + x_1 POL(2_{2_1}(x_1)) = x_1 POL(2_{3_1}(x_1)) = x_1 POL(2_{4_1}(x_1)) = 1 + x_1 POL(2_{5_1}(x_1)) = x_1 POL(3_{0_1}(x_1)) = x_1 POL(3_{1_1}(x_1)) = x_1 POL(3_{2_1}(x_1)) = x_1 POL(3_{3_1}(x_1)) = 2 + x_1 POL(3_{4_1}(x_1)) = x_1 POL(3_{5_1}(x_1)) = 1 + x_1 POL(4_{0_1}(x_1)) = x_1 POL(4_{1_1}(x_1)) = 1 + x_1 POL(4_{2_1}(x_1)) = x_1 POL(4_{3_1}(x_1)) = x_1 POL(4_{4_1}(x_1)) = 1 + x_1 POL(4_{5_1}(x_1)) = x_1 POL(5_{0_1}(x_1)) = x_1 POL(5_{1_1}(x_1)) = 1 + x_1 POL(5_{2_1}(x_1)) = x_1 POL(5_{3_1}(x_1)) = x_1 POL(5_{4_1}(x_1)) = 1 + x_1 POL(5_{5_1}(x_1)) = x_1 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 3_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 3_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) ---------------------------------------- (30) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) Q is empty. ---------------------------------------- (31) QTRSRRRProof (EQUIVALENT) Used ordering: Polynomial interpretation [POLO]: POL(0_{0_1}(x_1)) = x_1 POL(0_{1_1}(x_1)) = 1 + x_1 POL(0_{2_1}(x_1)) = x_1 POL(0_{3_1}(x_1)) = x_1 POL(0_{4_1}(x_1)) = 1 + x_1 POL(0_{5_1}(x_1)) = 5 + x_1 POL(1_{0_1}(x_1)) = x_1 POL(1_{1_1}(x_1)) = 1 + x_1 POL(1_{2_1}(x_1)) = x_1 POL(1_{4_1}(x_1)) = 1 + x_1 POL(1_{5_1}(x_1)) = x_1 POL(2_{0_1}(x_1)) = x_1 POL(2_{1_1}(x_1)) = x_1 POL(2_{2_1}(x_1)) = x_1 POL(2_{3_1}(x_1)) = 1 + x_1 POL(2_{4_1}(x_1)) = x_1 POL(2_{5_1}(x_1)) = x_1 POL(3_{0_1}(x_1)) = x_1 POL(3_{1_1}(x_1)) = x_1 POL(3_{2_1}(x_1)) = x_1 POL(3_{3_1}(x_1)) = x_1 POL(3_{4_1}(x_1)) = x_1 POL(3_{5_1}(x_1)) = x_1 POL(4_{0_1}(x_1)) = x_1 POL(4_{1_1}(x_1)) = 1 + x_1 POL(4_{2_1}(x_1)) = x_1 POL(4_{3_1}(x_1)) = 1 + x_1 POL(4_{4_1}(x_1)) = 1 + x_1 POL(4_{5_1}(x_1)) = x_1 POL(5_{0_1}(x_1)) = x_1 POL(5_{1_1}(x_1)) = 1 + x_1 POL(5_{2_1}(x_1)) = x_1 POL(5_{3_1}(x_1)) = x_1 POL(5_{4_1}(x_1)) = 1 + x_1 POL(5_{5_1}(x_1)) = x_1 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 2_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 2_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) ---------------------------------------- (32) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) Q is empty. ---------------------------------------- (33) QTRSRRRProof (EQUIVALENT) Used ordering: Polynomial interpretation [POLO]: POL(0_{0_1}(x_1)) = x_1 POL(0_{1_1}(x_1)) = x_1 POL(0_{2_1}(x_1)) = x_1 POL(0_{3_1}(x_1)) = 1 + x_1 POL(0_{4_1}(x_1)) = x_1 POL(0_{5_1}(x_1)) = x_1 POL(1_{0_1}(x_1)) = 1 + x_1 POL(1_{1_1}(x_1)) = x_1 POL(1_{2_1}(x_1)) = 1 + x_1 POL(1_{4_1}(x_1)) = x_1 POL(1_{5_1}(x_1)) = x_1 POL(2_{0_1}(x_1)) = x_1 POL(2_{1_1}(x_1)) = x_1 POL(2_{2_1}(x_1)) = x_1 POL(2_{3_1}(x_1)) = x_1 POL(2_{4_1}(x_1)) = x_1 POL(2_{5_1}(x_1)) = x_1 POL(3_{0_1}(x_1)) = x_1 POL(3_{1_1}(x_1)) = x_1 POL(3_{2_1}(x_1)) = x_1 POL(3_{3_1}(x_1)) = x_1 POL(3_{4_1}(x_1)) = x_1 POL(3_{5_1}(x_1)) = x_1 POL(4_{0_1}(x_1)) = x_1 POL(4_{1_1}(x_1)) = x_1 POL(4_{2_1}(x_1)) = x_1 POL(4_{3_1}(x_1)) = 2 + x_1 POL(4_{4_1}(x_1)) = x_1 POL(4_{5_1}(x_1)) = x_1 POL(5_{0_1}(x_1)) = x_1 POL(5_{1_1}(x_1)) = x_1 POL(5_{2_1}(x_1)) = x_1 POL(5_{3_1}(x_1)) = x_1 POL(5_{4_1}(x_1)) = x_1 POL(5_{5_1}(x_1)) = x_1 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 1_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 1_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) ---------------------------------------- (34) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) Q is empty. ---------------------------------------- (35) QTRSRRRProof (EQUIVALENT) Used ordering: Polynomial interpretation [POLO]: POL(0_{0_1}(x_1)) = x_1 POL(0_{1_1}(x_1)) = x_1 POL(0_{2_1}(x_1)) = x_1 POL(0_{3_1}(x_1)) = x_1 POL(0_{4_1}(x_1)) = x_1 POL(0_{5_1}(x_1)) = 1 + x_1 POL(1_{0_1}(x_1)) = x_1 POL(1_{1_1}(x_1)) = x_1 POL(1_{2_1}(x_1)) = x_1 POL(1_{4_1}(x_1)) = x_1 POL(1_{5_1}(x_1)) = x_1 POL(2_{0_1}(x_1)) = x_1 POL(2_{1_1}(x_1)) = x_1 POL(2_{2_1}(x_1)) = x_1 POL(2_{3_1}(x_1)) = x_1 POL(2_{4_1}(x_1)) = x_1 POL(2_{5_1}(x_1)) = x_1 POL(3_{0_1}(x_1)) = x_1 POL(3_{1_1}(x_1)) = x_1 POL(3_{2_1}(x_1)) = x_1 POL(3_{3_1}(x_1)) = x_1 POL(3_{4_1}(x_1)) = x_1 POL(3_{5_1}(x_1)) = x_1 POL(4_{0_1}(x_1)) = x_1 POL(4_{1_1}(x_1)) = 1 + x_1 POL(4_{2_1}(x_1)) = x_1 POL(4_{3_1}(x_1)) = 2 + x_1 POL(4_{4_1}(x_1)) = 1 + x_1 POL(4_{5_1}(x_1)) = x_1 POL(5_{0_1}(x_1)) = x_1 POL(5_{1_1}(x_1)) = 1 + x_1 POL(5_{2_1}(x_1)) = x_1 POL(5_{3_1}(x_1)) = x_1 POL(5_{4_1}(x_1)) = 1 + x_1 POL(5_{5_1}(x_1)) = x_1 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 0_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 0_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) ---------------------------------------- (36) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) Q is empty. ---------------------------------------- (37) QTRSRRRProof (EQUIVALENT) Used ordering: Polynomial interpretation [POLO]: POL(0_{0_1}(x_1)) = x_1 POL(0_{1_1}(x_1)) = 1 + x_1 POL(0_{2_1}(x_1)) = x_1 POL(0_{3_1}(x_1)) = x_1 POL(0_{4_1}(x_1)) = 1 + x_1 POL(0_{5_1}(x_1)) = x_1 POL(1_{0_1}(x_1)) = x_1 POL(1_{1_1}(x_1)) = x_1 POL(1_{2_1}(x_1)) = x_1 POL(1_{4_1}(x_1)) = x_1 POL(1_{5_1}(x_1)) = x_1 POL(2_{0_1}(x_1)) = x_1 POL(2_{1_1}(x_1)) = x_1 POL(2_{2_1}(x_1)) = x_1 POL(2_{3_1}(x_1)) = 1 + x_1 POL(2_{4_1}(x_1)) = x_1 POL(2_{5_1}(x_1)) = x_1 POL(3_{0_1}(x_1)) = x_1 POL(3_{1_1}(x_1)) = x_1 POL(3_{2_1}(x_1)) = x_1 POL(3_{3_1}(x_1)) = x_1 POL(3_{4_1}(x_1)) = x_1 POL(3_{5_1}(x_1)) = x_1 POL(4_{0_1}(x_1)) = x_1 POL(4_{1_1}(x_1)) = x_1 POL(4_{2_1}(x_1)) = x_1 POL(4_{3_1}(x_1)) = 3 + x_1 POL(4_{4_1}(x_1)) = x_1 POL(4_{5_1}(x_1)) = x_1 POL(5_{0_1}(x_1)) = x_1 POL(5_{1_1}(x_1)) = 1 + x_1 POL(5_{2_1}(x_1)) = x_1 POL(5_{3_1}(x_1)) = x_1 POL(5_{4_1}(x_1)) = 1 + x_1 POL(5_{5_1}(x_1)) = x_1 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 4_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 4_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) ---------------------------------------- (38) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) Q is empty. ---------------------------------------- (39) QTRSRRRProof (EQUIVALENT) Used ordering: Polynomial interpretation [POLO]: POL(0_{0_1}(x_1)) = x_1 POL(0_{1_1}(x_1)) = x_1 POL(0_{2_1}(x_1)) = x_1 POL(0_{3_1}(x_1)) = x_1 POL(0_{4_1}(x_1)) = x_1 POL(0_{5_1}(x_1)) = x_1 POL(1_{0_1}(x_1)) = x_1 POL(1_{1_1}(x_1)) = x_1 POL(1_{2_1}(x_1)) = x_1 POL(1_{4_1}(x_1)) = x_1 POL(1_{5_1}(x_1)) = x_1 POL(2_{0_1}(x_1)) = x_1 POL(2_{1_1}(x_1)) = x_1 POL(2_{2_1}(x_1)) = x_1 POL(2_{3_1}(x_1)) = 1 + x_1 POL(2_{4_1}(x_1)) = x_1 POL(2_{5_1}(x_1)) = x_1 POL(3_{0_1}(x_1)) = x_1 POL(3_{1_1}(x_1)) = x_1 POL(3_{2_1}(x_1)) = x_1 POL(3_{3_1}(x_1)) = x_1 POL(3_{4_1}(x_1)) = x_1 POL(3_{5_1}(x_1)) = x_1 POL(4_{0_1}(x_1)) = x_1 POL(4_{1_1}(x_1)) = x_1 POL(4_{2_1}(x_1)) = x_1 POL(4_{3_1}(x_1)) = x_1 POL(4_{4_1}(x_1)) = x_1 POL(4_{5_1}(x_1)) = x_1 POL(5_{0_1}(x_1)) = x_1 POL(5_{1_1}(x_1)) = x_1 POL(5_{2_1}(x_1)) = x_1 POL(5_{3_1}(x_1)) = x_1 POL(5_{4_1}(x_1)) = x_1 POL(5_{5_1}(x_1)) = x_1 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{3_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{3_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{2_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{2_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{1_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{0_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{0_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{4_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{4_1}(x1)))))))))))))))))) 5_{2_1}(2_{4_1}(4_{5_1}(5_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{3_1}(3_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{2_1}(2_{0_1}(0_{0_1}(0_{5_1}(x1))))))))))))))))) -> 5_{1_1}(1_{5_1}(5_{3_1}(3_{2_1}(2_{5_1}(5_{2_1}(2_{0_1}(0_{3_1}(3_{4_1}(4_{5_1}(5_{3_1}(3_{2_1}(2_{0_1}(0_{1_1}(1_{1_1}(1_{5_1}(5_{0_1}(0_{5_1}(x1)))))))))))))))))) ---------------------------------------- (40) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) Q is empty. ---------------------------------------- (41) QTRSRRRProof (EQUIVALENT) Used ordering: Polynomial interpretation [POLO]: POL(0_{0_1}(x_1)) = 1 + x_1 POL(0_{1_1}(x_1)) = x_1 POL(0_{2_1}(x_1)) = x_1 POL(0_{3_1}(x_1)) = x_1 POL(0_{4_1}(x_1)) = x_1 POL(0_{5_1}(x_1)) = x_1 POL(1_{0_1}(x_1)) = 1 + x_1 POL(1_{1_1}(x_1)) = x_1 POL(1_{2_1}(x_1)) = x_1 POL(1_{4_1}(x_1)) = x_1 POL(2_{0_1}(x_1)) = 1 + x_1 POL(2_{1_1}(x_1)) = x_1 POL(2_{2_1}(x_1)) = x_1 POL(2_{3_1}(x_1)) = x_1 POL(2_{4_1}(x_1)) = x_1 POL(2_{5_1}(x_1)) = 1 + x_1 POL(3_{0_1}(x_1)) = x_1 POL(3_{1_1}(x_1)) = x_1 POL(3_{2_1}(x_1)) = x_1 POL(3_{3_1}(x_1)) = x_1 POL(3_{4_1}(x_1)) = x_1 POL(3_{5_1}(x_1)) = x_1 POL(4_{0_1}(x_1)) = 1 + x_1 POL(4_{1_1}(x_1)) = x_1 POL(4_{2_1}(x_1)) = x_1 POL(4_{3_1}(x_1)) = x_1 POL(4_{4_1}(x_1)) = x_1 POL(4_{5_1}(x_1)) = x_1 POL(5_{0_1}(x_1)) = 1 + x_1 POL(5_{1_1}(x_1)) = x_1 POL(5_{2_1}(x_1)) = x_1 POL(5_{3_1}(x_1)) = x_1 POL(5_{4_1}(x_1)) = x_1 POL(5_{5_1}(x_1)) = 1 + x_1 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 3_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 3_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) ---------------------------------------- (42) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) Q is empty. ---------------------------------------- (43) QTRSRRRProof (EQUIVALENT) Used ordering: Polynomial interpretation [POLO]: POL(0_{0_1}(x_1)) = x_1 POL(0_{1_1}(x_1)) = x_1 POL(0_{2_1}(x_1)) = x_1 POL(0_{3_1}(x_1)) = x_1 POL(0_{4_1}(x_1)) = x_1 POL(0_{5_1}(x_1)) = x_1 POL(1_{0_1}(x_1)) = x_1 POL(1_{1_1}(x_1)) = 2 + x_1 POL(1_{2_1}(x_1)) = x_1 POL(1_{4_1}(x_1)) = 2 + x_1 POL(2_{0_1}(x_1)) = x_1 POL(2_{1_1}(x_1)) = x_1 POL(2_{2_1}(x_1)) = 1 + x_1 POL(2_{3_1}(x_1)) = x_1 POL(2_{4_1}(x_1)) = x_1 POL(2_{5_1}(x_1)) = x_1 POL(3_{0_1}(x_1)) = x_1 POL(3_{1_1}(x_1)) = 6 + x_1 POL(3_{2_1}(x_1)) = x_1 POL(3_{3_1}(x_1)) = x_1 POL(3_{4_1}(x_1)) = 6 + x_1 POL(3_{5_1}(x_1)) = x_1 POL(4_{0_1}(x_1)) = x_1 POL(4_{1_1}(x_1)) = x_1 POL(4_{2_1}(x_1)) = x_1 POL(4_{3_1}(x_1)) = x_1 POL(4_{4_1}(x_1)) = x_1 POL(4_{5_1}(x_1)) = x_1 POL(5_{0_1}(x_1)) = x_1 POL(5_{1_1}(x_1)) = x_1 POL(5_{2_1}(x_1)) = x_1 POL(5_{3_1}(x_1)) = x_1 POL(5_{4_1}(x_1)) = x_1 POL(5_{5_1}(x_1)) = x_1 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 2_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 2_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) ---------------------------------------- (44) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) Q is empty. ---------------------------------------- (45) QTRSRRRProof (EQUIVALENT) Used ordering: Polynomial interpretation [POLO]: POL(0_{0_1}(x_1)) = x_1 POL(0_{1_1}(x_1)) = x_1 POL(0_{2_1}(x_1)) = x_1 POL(0_{3_1}(x_1)) = x_1 POL(0_{4_1}(x_1)) = x_1 POL(0_{5_1}(x_1)) = x_1 POL(1_{0_1}(x_1)) = x_1 POL(1_{1_1}(x_1)) = x_1 POL(1_{2_1}(x_1)) = 1 + x_1 POL(1_{4_1}(x_1)) = x_1 POL(2_{0_1}(x_1)) = x_1 POL(2_{1_1}(x_1)) = x_1 POL(2_{2_1}(x_1)) = x_1 POL(2_{3_1}(x_1)) = x_1 POL(2_{4_1}(x_1)) = x_1 POL(2_{5_1}(x_1)) = x_1 POL(3_{0_1}(x_1)) = x_1 POL(3_{1_1}(x_1)) = x_1 POL(3_{2_1}(x_1)) = x_1 POL(3_{3_1}(x_1)) = x_1 POL(3_{4_1}(x_1)) = x_1 POL(3_{5_1}(x_1)) = x_1 POL(4_{0_1}(x_1)) = x_1 POL(4_{1_1}(x_1)) = x_1 POL(4_{2_1}(x_1)) = x_1 POL(4_{3_1}(x_1)) = x_1 POL(4_{4_1}(x_1)) = x_1 POL(4_{5_1}(x_1)) = x_1 POL(5_{0_1}(x_1)) = x_1 POL(5_{1_1}(x_1)) = x_1 POL(5_{2_1}(x_1)) = x_1 POL(5_{3_1}(x_1)) = x_1 POL(5_{4_1}(x_1)) = x_1 POL(5_{5_1}(x_1)) = x_1 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 1_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 1_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) ---------------------------------------- (46) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) Q is empty. ---------------------------------------- (47) QTRSRRRProof (EQUIVALENT) Used ordering: Polynomial interpretation [POLO]: POL(0_{0_1}(x_1)) = x_1 POL(0_{1_1}(x_1)) = x_1 POL(0_{2_1}(x_1)) = 1 + x_1 POL(0_{3_1}(x_1)) = x_1 POL(0_{4_1}(x_1)) = x_1 POL(0_{5_1}(x_1)) = x_1 POL(1_{0_1}(x_1)) = x_1 POL(1_{1_1}(x_1)) = 1 + x_1 POL(1_{2_1}(x_1)) = x_1 POL(1_{4_1}(x_1)) = 1 + x_1 POL(2_{0_1}(x_1)) = 1 + x_1 POL(2_{1_1}(x_1)) = x_1 POL(2_{2_1}(x_1)) = x_1 POL(2_{3_1}(x_1)) = x_1 POL(2_{4_1}(x_1)) = x_1 POL(2_{5_1}(x_1)) = x_1 POL(3_{0_1}(x_1)) = x_1 POL(3_{1_1}(x_1)) = x_1 POL(3_{2_1}(x_1)) = x_1 POL(3_{3_1}(x_1)) = x_1 POL(3_{4_1}(x_1)) = x_1 POL(3_{5_1}(x_1)) = x_1 POL(4_{0_1}(x_1)) = x_1 POL(4_{1_1}(x_1)) = x_1 POL(4_{2_1}(x_1)) = x_1 POL(4_{3_1}(x_1)) = x_1 POL(4_{4_1}(x_1)) = x_1 POL(4_{5_1}(x_1)) = x_1 POL(5_{0_1}(x_1)) = x_1 POL(5_{1_1}(x_1)) = x_1 POL(5_{2_1}(x_1)) = x_1 POL(5_{3_1}(x_1)) = x_1 POL(5_{4_1}(x_1)) = x_1 POL(5_{5_1}(x_1)) = x_1 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 0_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 0_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) ---------------------------------------- (48) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) Q is empty. ---------------------------------------- (49) QTRSRRRProof (EQUIVALENT) Used ordering: Polynomial interpretation [POLO]: POL(0_{0_1}(x_1)) = x_1 POL(0_{1_1}(x_1)) = x_1 POL(0_{2_1}(x_1)) = x_1 POL(0_{3_1}(x_1)) = x_1 POL(0_{4_1}(x_1)) = x_1 POL(0_{5_1}(x_1)) = x_1 POL(1_{0_1}(x_1)) = x_1 POL(1_{1_1}(x_1)) = x_1 POL(1_{2_1}(x_1)) = x_1 POL(1_{4_1}(x_1)) = x_1 POL(2_{0_1}(x_1)) = 1 + x_1 POL(2_{1_1}(x_1)) = x_1 POL(2_{2_1}(x_1)) = x_1 POL(2_{3_1}(x_1)) = x_1 POL(2_{4_1}(x_1)) = x_1 POL(2_{5_1}(x_1)) = x_1 POL(3_{0_1}(x_1)) = x_1 POL(3_{1_1}(x_1)) = x_1 POL(3_{2_1}(x_1)) = x_1 POL(3_{3_1}(x_1)) = x_1 POL(3_{4_1}(x_1)) = x_1 POL(3_{5_1}(x_1)) = x_1 POL(4_{0_1}(x_1)) = x_1 POL(4_{1_1}(x_1)) = x_1 POL(4_{2_1}(x_1)) = x_1 POL(4_{3_1}(x_1)) = x_1 POL(4_{4_1}(x_1)) = x_1 POL(4_{5_1}(x_1)) = x_1 POL(5_{0_1}(x_1)) = 1 + x_1 POL(5_{1_1}(x_1)) = x_1 POL(5_{2_1}(x_1)) = x_1 POL(5_{3_1}(x_1)) = x_1 POL(5_{4_1}(x_1)) = x_1 POL(5_{5_1}(x_1)) = x_1 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 4_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 4_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) ---------------------------------------- (50) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) Q is empty. ---------------------------------------- (51) QTRSRRRProof (EQUIVALENT) Used ordering: Polynomial interpretation [POLO]: POL(0_{0_1}(x_1)) = x_1 POL(0_{1_1}(x_1)) = x_1 POL(0_{2_1}(x_1)) = x_1 POL(0_{3_1}(x_1)) = x_1 POL(0_{4_1}(x_1)) = x_1 POL(0_{5_1}(x_1)) = x_1 POL(1_{0_1}(x_1)) = x_1 POL(1_{1_1}(x_1)) = x_1 POL(1_{2_1}(x_1)) = x_1 POL(1_{4_1}(x_1)) = x_1 POL(2_{0_1}(x_1)) = x_1 POL(2_{1_1}(x_1)) = x_1 POL(2_{2_1}(x_1)) = x_1 POL(2_{3_1}(x_1)) = x_1 POL(2_{4_1}(x_1)) = x_1 POL(2_{5_1}(x_1)) = x_1 POL(3_{0_1}(x_1)) = x_1 POL(3_{1_1}(x_1)) = 1 + x_1 POL(3_{2_1}(x_1)) = x_1 POL(3_{3_1}(x_1)) = x_1 POL(3_{4_1}(x_1)) = 1 + x_1 POL(3_{5_1}(x_1)) = x_1 POL(4_{0_1}(x_1)) = x_1 POL(4_{1_1}(x_1)) = x_1 POL(4_{2_1}(x_1)) = x_1 POL(4_{3_1}(x_1)) = x_1 POL(4_{4_1}(x_1)) = x_1 POL(4_{5_1}(x_1)) = x_1 POL(5_{0_1}(x_1)) = x_1 POL(5_{1_1}(x_1)) = x_1 POL(5_{2_1}(x_1)) = x_1 POL(5_{3_1}(x_1)) = x_1 POL(5_{4_1}(x_1)) = x_1 POL(5_{5_1}(x_1)) = x_1 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{3_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{3_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{2_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{2_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{1_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{0_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{0_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{4_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{4_1}(x1))))))))))))))))))))) 5_{2_1}(2_{0_1}(0_{0_1}(0_{1_1}(1_{0_1}(0_{0_1}(0_{3_1}(3_{4_1}(4_{0_1}(0_{2_1}(2_{0_1}(0_{5_1}(5_{4_1}(4_{1_1}(1_{2_1}(2_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(5_{4_1}(4_{5_1}(x1))))))))))))))))))))) -> 5_{0_1}(0_{0_1}(0_{5_1}(5_{1_1}(1_{1_1}(1_{2_1}(2_{2_1}(2_{1_1}(1_{4_1}(4_{3_1}(3_{5_1}(5_{0_1}(0_{0_1}(0_{0_1}(0_{2_1}(2_{5_1}(5_{2_1}(2_{2_1}(2_{4_1}(4_{4_1}(4_{5_1}(x1))))))))))))))))))))) ---------------------------------------- (52) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) Q is empty. ---------------------------------------- (53) QTRSRRRProof (EQUIVALENT) Used ordering: Polynomial interpretation [POLO]: POL(0_{1_1}(x_1)) = x_1 POL(0_{2_1}(x_1)) = x_1 POL(0_{3_1}(x_1)) = x_1 POL(0_{4_1}(x_1)) = x_1 POL(0_{5_1}(x_1)) = x_1 POL(1_{0_1}(x_1)) = x_1 POL(1_{1_1}(x_1)) = x_1 POL(1_{2_1}(x_1)) = x_1 POL(1_{4_1}(x_1)) = x_1 POL(2_{1_1}(x_1)) = x_1 POL(2_{2_1}(x_1)) = x_1 POL(2_{3_1}(x_1)) = x_1 POL(2_{4_1}(x_1)) = x_1 POL(2_{5_1}(x_1)) = x_1 POL(3_{0_1}(x_1)) = x_1 POL(3_{1_1}(x_1)) = 1 + x_1 POL(3_{2_1}(x_1)) = x_1 POL(3_{3_1}(x_1)) = x_1 POL(3_{4_1}(x_1)) = x_1 POL(3_{5_1}(x_1)) = x_1 POL(4_{0_1}(x_1)) = x_1 POL(4_{1_1}(x_1)) = x_1 POL(4_{2_1}(x_1)) = x_1 POL(4_{3_1}(x_1)) = x_1 POL(4_{4_1}(x_1)) = x_1 POL(4_{5_1}(x_1)) = x_1 POL(5_{0_1}(x_1)) = x_1 POL(5_{1_1}(x_1)) = x_1 POL(5_{3_1}(x_1)) = x_1 POL(5_{4_1}(x_1)) = x_1 POL(5_{5_1}(x_1)) = x_1 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 3_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 3_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) ---------------------------------------- (54) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) Q is empty. ---------------------------------------- (55) QTRSRRRProof (EQUIVALENT) Used ordering: Polynomial interpretation [POLO]: POL(0_{1_1}(x_1)) = x_1 POL(0_{2_1}(x_1)) = x_1 POL(0_{3_1}(x_1)) = x_1 POL(0_{4_1}(x_1)) = x_1 POL(0_{5_1}(x_1)) = x_1 POL(1_{0_1}(x_1)) = x_1 POL(1_{1_1}(x_1)) = x_1 POL(1_{2_1}(x_1)) = x_1 POL(1_{4_1}(x_1)) = x_1 POL(2_{1_1}(x_1)) = 1 + x_1 POL(2_{2_1}(x_1)) = x_1 POL(2_{3_1}(x_1)) = x_1 POL(2_{4_1}(x_1)) = x_1 POL(2_{5_1}(x_1)) = x_1 POL(3_{0_1}(x_1)) = x_1 POL(3_{1_1}(x_1)) = x_1 POL(3_{2_1}(x_1)) = x_1 POL(3_{3_1}(x_1)) = x_1 POL(3_{4_1}(x_1)) = x_1 POL(3_{5_1}(x_1)) = x_1 POL(4_{0_1}(x_1)) = x_1 POL(4_{1_1}(x_1)) = x_1 POL(4_{2_1}(x_1)) = x_1 POL(4_{3_1}(x_1)) = x_1 POL(4_{4_1}(x_1)) = x_1 POL(4_{5_1}(x_1)) = x_1 POL(5_{0_1}(x_1)) = x_1 POL(5_{1_1}(x_1)) = x_1 POL(5_{3_1}(x_1)) = x_1 POL(5_{4_1}(x_1)) = x_1 POL(5_{5_1}(x_1)) = x_1 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 2_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 2_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) ---------------------------------------- (56) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) Q is empty. ---------------------------------------- (57) QTRSRRRProof (EQUIVALENT) Used ordering: Polynomial interpretation [POLO]: POL(0_{1_1}(x_1)) = x_1 POL(0_{2_1}(x_1)) = x_1 POL(0_{3_1}(x_1)) = x_1 POL(0_{4_1}(x_1)) = x_1 POL(0_{5_1}(x_1)) = x_1 POL(1_{0_1}(x_1)) = x_1 POL(1_{1_1}(x_1)) = 1 + x_1 POL(1_{2_1}(x_1)) = x_1 POL(1_{4_1}(x_1)) = x_1 POL(2_{2_1}(x_1)) = x_1 POL(2_{3_1}(x_1)) = x_1 POL(2_{4_1}(x_1)) = x_1 POL(2_{5_1}(x_1)) = x_1 POL(3_{0_1}(x_1)) = x_1 POL(3_{1_1}(x_1)) = x_1 POL(3_{2_1}(x_1)) = x_1 POL(3_{3_1}(x_1)) = x_1 POL(3_{4_1}(x_1)) = x_1 POL(3_{5_1}(x_1)) = x_1 POL(4_{0_1}(x_1)) = x_1 POL(4_{1_1}(x_1)) = x_1 POL(4_{2_1}(x_1)) = x_1 POL(4_{3_1}(x_1)) = x_1 POL(4_{4_1}(x_1)) = x_1 POL(4_{5_1}(x_1)) = x_1 POL(5_{0_1}(x_1)) = x_1 POL(5_{1_1}(x_1)) = x_1 POL(5_{3_1}(x_1)) = x_1 POL(5_{4_1}(x_1)) = x_1 POL(5_{5_1}(x_1)) = x_1 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 1_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 1_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) ---------------------------------------- (58) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) Q is empty. ---------------------------------------- (59) QTRSRRRProof (EQUIVALENT) Used ordering: Polynomial interpretation [POLO]: POL(0_{1_1}(x_1)) = 1 + x_1 POL(0_{2_1}(x_1)) = 1 + x_1 POL(0_{3_1}(x_1)) = x_1 POL(0_{4_1}(x_1)) = x_1 POL(0_{5_1}(x_1)) = x_1 POL(1_{0_1}(x_1)) = x_1 POL(1_{1_1}(x_1)) = x_1 POL(1_{2_1}(x_1)) = x_1 POL(1_{4_1}(x_1)) = x_1 POL(2_{2_1}(x_1)) = x_1 POL(2_{3_1}(x_1)) = x_1 POL(2_{4_1}(x_1)) = x_1 POL(2_{5_1}(x_1)) = x_1 POL(3_{0_1}(x_1)) = x_1 POL(3_{1_1}(x_1)) = x_1 POL(3_{2_1}(x_1)) = x_1 POL(3_{3_1}(x_1)) = x_1 POL(3_{4_1}(x_1)) = x_1 POL(3_{5_1}(x_1)) = x_1 POL(4_{0_1}(x_1)) = x_1 POL(4_{1_1}(x_1)) = x_1 POL(4_{2_1}(x_1)) = x_1 POL(4_{3_1}(x_1)) = x_1 POL(4_{4_1}(x_1)) = x_1 POL(4_{5_1}(x_1)) = x_1 POL(5_{0_1}(x_1)) = x_1 POL(5_{1_1}(x_1)) = x_1 POL(5_{3_1}(x_1)) = x_1 POL(5_{4_1}(x_1)) = x_1 POL(5_{5_1}(x_1)) = x_1 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 0_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 0_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) ---------------------------------------- (60) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) Q is empty. ---------------------------------------- (61) QTRSRRRProof (EQUIVALENT) Used ordering: Polynomial interpretation [POLO]: POL(0_{1_1}(x_1)) = x_1 POL(0_{2_1}(x_1)) = x_1 POL(0_{3_1}(x_1)) = x_1 POL(0_{4_1}(x_1)) = x_1 POL(0_{5_1}(x_1)) = x_1 POL(1_{0_1}(x_1)) = x_1 POL(1_{1_1}(x_1)) = x_1 POL(1_{2_1}(x_1)) = x_1 POL(1_{4_1}(x_1)) = x_1 POL(2_{2_1}(x_1)) = x_1 POL(2_{3_1}(x_1)) = x_1 POL(2_{4_1}(x_1)) = x_1 POL(2_{5_1}(x_1)) = x_1 POL(3_{0_1}(x_1)) = x_1 POL(3_{1_1}(x_1)) = x_1 POL(3_{2_1}(x_1)) = x_1 POL(3_{3_1}(x_1)) = x_1 POL(3_{4_1}(x_1)) = x_1 POL(3_{5_1}(x_1)) = x_1 POL(4_{0_1}(x_1)) = x_1 POL(4_{1_1}(x_1)) = x_1 POL(4_{2_1}(x_1)) = x_1 POL(4_{3_1}(x_1)) = x_1 POL(4_{4_1}(x_1)) = x_1 POL(4_{5_1}(x_1)) = x_1 POL(5_{0_1}(x_1)) = x_1 POL(5_{1_1}(x_1)) = x_1 POL(5_{3_1}(x_1)) = x_1 POL(5_{4_1}(x_1)) = 1 + x_1 POL(5_{5_1}(x_1)) = x_1 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 4_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 4_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) ---------------------------------------- (62) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) Q is empty. ---------------------------------------- (63) QTRSRRRProof (EQUIVALENT) Used ordering: Polynomial interpretation [POLO]: POL(0_{1_1}(x_1)) = x_1 POL(0_{2_1}(x_1)) = x_1 POL(0_{3_1}(x_1)) = x_1 POL(0_{4_1}(x_1)) = x_1 POL(0_{5_1}(x_1)) = x_1 POL(1_{0_1}(x_1)) = 1 + x_1 POL(1_{1_1}(x_1)) = x_1 POL(1_{2_1}(x_1)) = x_1 POL(1_{4_1}(x_1)) = x_1 POL(2_{2_1}(x_1)) = x_1 POL(2_{3_1}(x_1)) = x_1 POL(2_{4_1}(x_1)) = x_1 POL(2_{5_1}(x_1)) = x_1 POL(3_{0_1}(x_1)) = x_1 POL(3_{1_1}(x_1)) = x_1 POL(3_{2_1}(x_1)) = x_1 POL(3_{3_1}(x_1)) = x_1 POL(3_{4_1}(x_1)) = x_1 POL(3_{5_1}(x_1)) = x_1 POL(4_{0_1}(x_1)) = x_1 POL(4_{1_1}(x_1)) = x_1 POL(4_{2_1}(x_1)) = x_1 POL(4_{3_1}(x_1)) = x_1 POL(4_{4_1}(x_1)) = x_1 POL(4_{5_1}(x_1)) = x_1 POL(5_{0_1}(x_1)) = x_1 POL(5_{1_1}(x_1)) = x_1 POL(5_{3_1}(x_1)) = x_1 POL(5_{4_1}(x_1)) = x_1 POL(5_{5_1}(x_1)) = x_1 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{3_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{3_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{2_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{2_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{1_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{1_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{0_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{0_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{4_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{4_1}(x1)))))))))))))))))))))) 5_{1_1}(1_{2_1}(2_{3_1}(3_{0_1}(0_{4_1}(4_{5_1}(5_{4_1}(4_{1_1}(1_{1_1}(1_{4_1}(4_{2_1}(2_{5_1}(5_{4_1}(4_{4_1}(4_{4_1}(4_{2_1}(2_{5_1}(5_{0_1}(0_{1_1}(1_{0_1}(0_{3_1}(3_{5_1}(x1)))))))))))))))))))))) -> 5_{4_1}(4_{1_1}(1_{1_1}(1_{2_1}(2_{3_1}(3_{5_1}(5_{5_1}(5_{0_1}(0_{5_1}(5_{3_1}(3_{3_1}(3_{3_1}(3_{2_1}(2_{2_1}(2_{2_1}(2_{5_1}(5_{4_1}(4_{0_1}(0_{2_1}(2_{4_1}(4_{3_1}(3_{5_1}(x1)))))))))))))))))))))) ---------------------------------------- (64) Obligation: Q restricted rewrite system: R is empty. Q is empty. ---------------------------------------- (65) RisEmptyProof (EQUIVALENT) The TRS R is empty. Hence, termination is trivially proven. ---------------------------------------- (66) YES