(ignored inputs)COMMENT TPDB SRS_Standard/Waldmann_07_size12/size-12-alpha-3-num-478
Rewrite Rules:
   [ a(a(?x)) -> a(b(b(c(?x)))),
     b(a(?x)) -> ?x,
     c(b(?x)) -> a(c(?x)) ]
Apply Direct Methods...
Inner CPs:
   [ b(a(b(b(c(?x))))) = a(?x),
     c(?x_1) = a(c(a(?x_1))),
     a(a(b(b(c(?x))))) = a(b(b(c(a(?x))))) ]
Outer CPs:
   [  ]
not Overlay, check Termination...
unknown/not Terminating
unknown Knuth & Bendix
Linear
unknown Development Closed
unknown Strongly Closed
unknown Weakly-Non-Overlapping & Non-Collapsing & Shallow
inner CP cond (upside-parallel)
innter CP Cond (outside)
unknown Upside-Parallel-Closed/Outside-Closed
(inner) Parallel CPs: (not computed)
unknown Toyama (Parallel CPs)
Simultaneous CPs:
   [ a(a(b(b(c(?x_1))))) = a(b(b(c(a(?x_1))))),
     a(b(b(c(a(b(b(c(?x_1)))))))) = a(a(b(b(c(a(?x_1)))))),
     a(b(b(c(?x_1)))) = b(a(b(b(c(a(?x_1)))))),
     a(b(b(c(a(?x))))) = a(a(b(b(c(?x))))),
     a(?x) = b(a(b(b(c(?x))))),
     b(a(b(b(c(?x_2))))) = a(?x_2),
     a(c(a(b(b(c(?x_2)))))) = c(a(?x_2)),
     a(c(a(?x))) = c(?x),
     c(?x_3) = a(c(a(?x_3))) ]
unknown Okui (Simultaneous CPs)
unknown Strongly Depth-Preserving & Root-E-Closed/Non-E-Overlapping
unknown Strongly Weight-Preserving & Root-E-Closed/Non-E-Overlapping
check Locally Decreasing Diagrams by Rule Labelling...
Critical Pair <b(a(b(b(c(?x))))), a(?x)> by Rules <0, 1> preceded by [(b,1)]
unknown Diagram Decreasing
check Non-Confluence...
obtain 6 rules by 3 steps unfolding
obtain 41 candidates for checking non-joinability
check by TCAP-Approximation (success)
Witness for Non-Confluence: <c(a(c_1)) <- b(c(b(b(a(a(c_1)))))) -> b(c(c_1))>
Direct Methods: not CR

Combined result: not CR
981.trs: Success(not CR)
NO
(61 msec.)