NO
(ignored inputs)COMMENT reduction failed
Rewrite Rules:
   [ a(b(a(?x))) -> b(b(b(a(?x)))),
     b(b(b(a(?x)))) -> a(a(a(b(?x)))) ]
Apply Direct Methods...
Inner CPs:
   [ b(b(b(b(b(b(a(?x))))))) = a(a(a(b(b(a(?x)))))),
     a(b(b(b(b(a(?x)))))) = b(b(b(a(b(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(b(b(b(b(a(?x_1)))))) = b(b(b(a(b(a(?x_1)))))),
     b(b(b(a(b(b(b(b(a(?x_1))))))))) = a(b(b(b(b(a(b(a(?x_1)))))))),
     a(a(a(b(b(b(b(b(a(?x_1))))))))) = b(b(b(b(b(b(a(b(a(?x_1))))))))),
     b(b(b(a(b(a(?x)))))) = a(b(b(b(b(a(?x)))))),
     a(a(a(b(b(a(?x)))))) = b(b(b(b(b(b(a(?x))))))),
     b(b(b(b(b(b(a(?x_2))))))) = a(a(a(b(b(a(?x_2)))))) ]
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(b(b(b(b(b(a(?x))))))), a(a(a(b(b(a(?x))))))> by Rules <0, 1> preceded by [(b,1),(b,1),(b,1)]
unknown Diagram Decreasing
check Non-Confluence...
obtain 5 rules by 3 steps unfolding
obtain 100 candidates for checking non-joinability
check by TCAP-Approximation (failure)
check by Ordering(rpo), check by Tree-Automata Approximation (success)
Witness for Non-Confluence: <a(a(a(b(a(a(b(c_1))))))) <- b(b(b(a(b(a(c_1)))))) -> a(a(a(b(b(a(c_1))))))>
Direct Methods: not CR

Combined result: not CR
/tmp/filept7I3G.trs: Success(not CR)
(353 msec.)