NO
(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 -> h(h(b,a),f(a)),
     h(h(a,c),b) -> b,
     c -> h(h(a,h(a,h(c,b))),f(f(h(h(a,h(h(f(a),c),f(c))),f(h(b,a)))))) ]
Apply Direct Methods...
Inner CPs:
   [ h(h(a,c),h(h(b,a),f(a))) = b,
     h(h(a,h(h(a,h(a,h(c,b))),f(f(h(h(a,h(h(f(a),c),f(c))),f(h(b,a))))))),b) = b ]
Outer CPs:
   [  ]
not Overlay, check Termination...
unknown/not Terminating
unknown Knuth & Bendix
Linear
unknown Development Closed
unknown Strongly Closed
unknown Weakly-Non-Overlapping & Non-Collapsing & Shallow
inner CP cond (upside-parallel)
innter CP Cond (outside)
unknown Upside-Parallel-Closed/Outside-Closed
(inner) Parallel CPs: (not computed)
unknown Toyama (Parallel CPs)
Simultaneous CPs:
   [ b = h(h(a,c),h(h(b,a),f(a))),
     h(h(a,h(h(a,h(a,h(c,b))),f(f(h(h(a,h(h(f(a),c),f(c))),f(h(b,a))))))),h(h(b,a),f(a))) = b,
     h(h(a,h(h(a,h(a,h(c,b))),f(f(h(h(a,h(h(f(a),c),f(c))),f(h(b,a))))))),b) = b,
     h(h(a,c),h(h(b,a),f(a))) = b,
     b = h(h(a,h(h(a,h(a,h(c,b))),f(f(h(h(a,h(h(f(a),c),f(c))),f(h(b,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(h(a,c),h(h(b,a),f(a))), b> by Rules <0, 1> preceded by [(h,2)]
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: <h(h(a,c),h(h(b,a),f(a))) <- h(h(a,c),h(h(a,c),b)) -> h(h(b,a),f(a))>
Direct Methods: not CR

Combined result: not CR
689.trs: Success(not CR)
(222 msec.)