NO
(ignored inputs)COMMENT reduction failed
Rewrite Rules:
   [ b -> f(b),
     h(a,c) -> b,
     f(a) -> c,
     c -> a,
     c -> b ]
Apply Direct Methods...
Inner CPs:
   [ h(a,a) = b,
     h(a,b) = b ]
Outer CPs:
   [ a = b ]
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:
   [ h(a,a) = b,
     h(a,b) = b,
     b = a,
     b = h(a,a),
     a = b,
     b = h(a,b) ]
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 <h(a,a), b> by Rules <3, 1> preceded by [(h,2)]
unknown Diagram Decreasing
check Non-Confluence...
obtain 11 rules by 3 steps unfolding
obtain 60 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 <- f(c) -> b>
Direct Methods: not CR

Combined result: not CR
/tmp/fileuMhvo8.trs: Success(not CR)
(9 msec.)