(ignored inputs)COMMENT Cops #647 - #721: generated ground TRSs; evenly distributed in the UNR/UNC/NFP/CR hierarchy submitted by: Bertram Felgenhauer
Rewrite Rules:
   [ c -> f(h(b,b)),
     c -> b,
     b -> b,
     c -> a ]
Apply Direct Methods...
Inner CPs:
   [  ]
Outer CPs:
   [ f(h(b,b)) = b,
     f(h(b,b)) = a,
     b = a ]
Overlay, check Innermost Termination...
unknown Innermost 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:
   [ b = f(h(b,b)),
     a = f(h(b,b)),
     f(h(b,b)) = b,
     a = b,
     f(h(b,b)) = a,
     b = a ]
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, f(h(b,b))> by Rules <1, 0> preceded by []
unknown Diagram Decreasing
check Non-Confluence...
obtain 4 rules by 3 steps unfolding
obtain 3 candidates for checking non-joinability
check by TCAP-Approximation (success)
Witness for Non-Confluence: <f(h(b,b)) <- c -> a>
Direct Methods: not CR

Combined result: not CR
698.trs: Success(not CR)
NO
(2 msec.)