(ignored inputs)COMMENT Example 6.3.4 of \cite{BN98}
Rewrite Rules:
   [ +(s(?x),?y) -> s(+(?x,?y)),
     +(?x,s(?y)) -> s(+(?x,?y)),
     +(?x,?y) -> +(?y,?x) ]
Apply Direct Methods...
Inner CPs:
   [  ]
Outer CPs:
   [ s(+(?x,s(?y_1))) = s(+(s(?x),?y_1)),
     s(+(?x,?y)) = +(?y,s(?x)),
     s(+(?x_1,?y_1)) = +(s(?y_1),?x_1) ]
Overlay, check Innermost Termination...
unknown Innermost Terminating
unknown Knuth&Bendix
Linear
Development Closed
Direct Methods: CR

Final result: CR
/local-scratch/hzankl/2012/cops2012/8.trs: Success(CR)
(1 msec.)