(ignored inputs)COMMENT Cops #647 - #721: generated ground TRSs; evenly distributed in the UNR/UNC/NFP/CR hierarchy submitted by: Bertram Felgenhauer
Rewrite Rules:
   [ b -> f(f(b)),
     f(a) -> c,
     f(a) -> b,
     b -> f(h(a,b)) ]
Apply Direct Methods...
Inner CPs:
   [  ]
Outer CPs:
   [ f(f(b)) = f(h(a,b)),
     c = b ]
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:
   [ f(h(a,b)) = f(f(b)),
     b = c,
     c = b,
     f(f(b)) = f(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 <f(h(a,b)), f(f(b))> by Rules <3, 0> preceded by []
unknown Diagram Decreasing
check Non-Confluence...
obtain 10 rules by 3 steps unfolding
obtain 100 candidates for checking non-joinability
check by TCAP-Approximation (success)
Witness for Non-Confluence: <f(h(a,b)) <- f(a) -> c>
Direct Methods: not CR

Combined result: not CR
720.trs: Success(not CR)
NO
(9 msec.)