(ignored inputs)COMMENT Cops #647 - #721: generated ground TRSs; evenly distributed in the UNR/UNC/NFP/CR hierarchy submitted by: Bertram Felgenhauer
Rewrite Rules:
   [ a -> f(b),
     h(b,f(c)) -> c,
     b -> f(b),
     b -> f(c),
     h(c,c) -> c ]
Apply Direct Methods...
Inner CPs:
   [ h(f(b),f(c)) = c,
     h(f(c),f(c)) = c ]
Outer CPs:
   [ f(b) = f(c) ]
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(f(b),f(c)) = c,
     h(f(c),f(c)) = c,
     f(c) = f(b),
     c = h(f(b),f(c)),
     f(b) = f(c),
     c = h(f(c),f(c)) ]
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(f(b),f(c)), c> by Rules <2, 1> preceded by [(h,1)]
unknown Diagram Decreasing
check Non-Confluence...
obtain 11 rules by 3 steps unfolding
obtain 100 candidates for checking non-joinability
check by TCAP-Approximation (success)
Witness for Non-Confluence: <f(f(b)) <- b -> f(c)>
Direct Methods: not CR

Combined result: not CR
665.trs: Success(not CR)
NO
(8 msec.)