(ignored inputs)COMMENT from Example 2 of \cite{OO03}
Rewrite Rules:
   [ a -> a',
     h(?x,a',?y) -> h(?x,?y,?y),
     h(?x,?y,a') -> h(?x,?y,?y),
     g -> f,
     h(f,a,a) -> h(g,a,a),
     h(g,a,a) -> h(f,a,a) ]
Apply Direct Methods...
Inner CPs:
   [ h(f,a',a) = h(g,a,a),
     h(f,a,a') = h(g,a,a),
     h(g,a',a) = h(f,a,a),
     h(g,a,a') = h(f,a,a),
     h(f,a,a) = h(f,a,a) ]
Outer CPs:
   [ h(?x,a',a') = h(?x,a',a') ]
not Overlay, check Termination...
unknown/not Terminating
unknown Knuth&Bendix
Left-Linear, not Right-Linear
unknown Development Closed
inner CP cond (upside-parallel)
innter CP Cond (outside)
unknown Upside-Parallel-Closed/Outside-Closed
(inner) Parallel CPs:
   [ h(f,a,a') = h(g,a,a) {},
     h(f,a',a) = h(g,a,a) {},
     h(f,a',a') = h(g,a,a) {},
     h(g,a,a') = h(f,a,a) {},
     h(g,a',a) = h(f,a,a) {},
     h(g,a',a') = h(f,a,a) {},
     h(f,a,a) = h(f,a,a) {},
     h(f,a,a') = h(f,a,a) {},
     h(f,a',a) = h(f,a,a) {},
     h(f,a',a') = h(f,a,a) {} ]
Toyama (Parallel CPs)
Direct Methods: CR

Final result: CR
/local-scratch/hzankl/2012/cops2012/61.trs: Success(CR)
(23 msec.)