(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 -> h(c,c),
     f(c) -> c,
     f(b) -> b,
     a -> b,
     a -> h(h(a,a),h(c,b)) ]
Apply Direct Methods...
Inner CPs:
   [ f(h(c,c)) = c ]
Outer CPs:
   [ b = h(h(a,a),h(c,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:
   [ c = f(h(c,c)),
     f(h(c,c)) = c,
     h(h(a,a),h(c,b)) = b,
     b = h(h(a,a),h(c,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(c,c)), c> by Rules <0, 1> preceded by [(f,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(h(c,c)) <- f(c) -> h(c,c)>
Direct Methods: not CR

Combined result: not CR
688.trs: Success(not CR)
NO
(20 msec.)