NO (ignored inputs)COMMENT from experiments for [44] submitted by: Tsubasa Suzuki , Takahito Aoto , and Yoshihito Toyama Rewrite Rules: [ c -> f(c), c -> f(h(a)), f(?x) -> h(f(?x)) ] Apply Direct Methods... Inner CPs: [ ] Outer CPs: [ f(c) = f(h(a)) ] 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)) = f(c), f(c) = f(h(a)) ] 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 <1, 0> preceded by [] unknown Diagram Decreasing check Non-Confluence... obtain 11 rules by 3 steps unfolding obtain 100 candidates for checking non-joinability check by TCAP-Approximation (failure) check by Ordering(rpo), check by Tree-Automata Approximation (success) Witness for Non-Confluence: f(h(a))> Direct Methods: not CR Combined result: not CR 253.trs: Success(not CR) (25 msec.)