(ignored inputs)COMMENT from p.813 of \cite{Hue80}
Rewrite Rules:
   [ F(?x,?x) -> A,
     F(?x,G(?x)) -> B,
     C -> G(C) ]
Apply Direct Methods...
Inner CPs:
   [  ]
Outer CPs:
   [  ]
Overlay, check Innermost Termination...
unknown Innermost Terminating
unknown Knuth&Bendix
not Left-Linear, Right-Linear
unknown Simple-Right-Linear
unknown Strongly Depth-Preserving & Non-E-Overlapping
check by Reduction-Preserving Completion...
failure(empty P)
unknown Reduction-Preserving Completion
check Non-Confluence...Find Non-Joinable CP reducts: <A, B> from F(C,C)
Not Confluent
Direct Methods: not CR

Final result: not CR
/local-scratch/hzankl/2012/cops2012/46.trs: Success(not CR)
(0 msec.)