(ignored inputs)COMMENT TPDB SRS_Standard/Secret_06_SRS/secr6 Rewrite Rules: [ a(b(c(?x))) -> c(c(c(b(b(b(a(a(a(?x))))))))), c(b(?x)) -> a(a(a(?x))), a(?x) -> ?x, b(?x) -> ?x, c(?x) -> ?x ] Apply Direct Methods... Inner CPs: [ a(b(a(a(a(?x_1))))) = c(c(c(b(b(b(a(a(a(b(?x_1)))))))))), a(c(?x)) = c(c(c(b(b(b(a(a(a(?x))))))))), a(b(?x_4)) = c(c(c(b(b(b(a(a(a(?x_4))))))))), c(?x_3) = a(a(a(?x_3))) ] Outer CPs: [ c(c(c(b(b(b(a(a(a(?x))))))))) = b(c(?x)), a(a(a(?x_1))) = b(?x_1) ] not Overlay, check Termination... unknown/not Terminating unknown Knuth & Bendix Linear unknown Development Closed unknown Strongly Closed unknown Weakly-Non-Overlapping & Non-Collapsing & Shallow unknown Upside-Parallel-Closed/Outside-Closed (inner) Parallel CPs: (not computed) unknown Toyama (Parallel CPs) Simultaneous CPs: [ a(a(a(?x_2))) = c(c(c(b(b(b(a(a(a(b(?x_2)))))))))), ?x = c(c(c(b(b(b(a(a(a(?x))))))))), c(?x) = c(c(c(b(b(b(a(a(a(?x))))))))), b(a(a(a(?x_2)))) = c(c(c(b(b(b(a(a(a(b(?x_2)))))))))), b(?x) = c(c(c(b(b(b(a(a(a(?x))))))))), a(a(a(a(?x_2)))) = c(c(c(b(b(b(a(a(a(b(?x_2)))))))))), a(?x) = c(c(c(b(b(b(a(a(a(?x))))))))), b(c(?x)) = c(c(c(b(b(b(a(a(a(?x))))))))), a(c(?x)) = c(c(c(b(b(b(a(a(a(?x))))))))), a(b(a(a(a(?x_2))))) = c(c(c(b(b(b(a(a(a(b(?x_2)))))))))), a(b(?x)) = c(c(c(b(b(b(a(a(a(?x))))))))), ?x = a(a(a(?x))), b(?x) = a(a(a(?x))), c(?x) = a(a(a(?x))), c(c(c(b(b(b(a(a(a(?x))))))))) = a(b(a(a(a(?x))))), c(c(c(b(b(b(a(a(a(b(?x)))))))))) = a(b(a(a(a(?x))))), c(c(c(b(b(b(a(a(a(?x_1))))))))) = b(c(?x_1)), c(c(c(b(b(b(a(a(a(?x_2))))))))) = a(c(?x_2)), a(a(a(?x))) = c(?x), a(a(a(?x_2))) = b(?x_2), c(c(c(b(b(b(a(a(a(?x))))))))) = a(b(?x)) ] Okui (Simultaneous CPs) Direct Methods: CR Combined result: CR 938.trs: Success(CR) YES (212 msec.)