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 -> c, h(b,b) -> a, h(c,c) -> c, c -> c ] Apply Direct Methods... Inner CPs: [ h(c,b) = a, h(b,c) = a, h(c,c) = c, h(c,c) = c ] 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: [ a = h(c,b), a = h(b,c), h(c,c) = a, h(c,b) = a, h(b,c) = a, h(c,c) = c, c = h(c,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 by Rules <0, 1> preceded by [(h,1)] unknown Diagram Decreasing check Non-Confluence... obtain 10 rules by 3 steps unfolding obtain 17 candidates for checking non-joinability check by TCAP-Approximation (failure) check by Ordering(rpo), check by Tree-Automata Approximation (success) Witness for Non-Confluence: a> Direct Methods: not CR Combined result: not CR 673.trs: Success(not CR) (11 msec.)