YES
(ignored inputs)COMMENT the following rules are removed from the original TRS f ( a ( ) , a ( ) ) -> b ( ) a ( ) -> a' ( )
Rewrite Rules:
   [ f(a',?x) -> f(?x,?x),
     f(?x,a') -> f(?x,?x),
     f(a',a') -> b,
     b -> f(a',a') ]
Apply Direct Methods...
Inner CPs:
   [  ]
Outer CPs:
   [ f(a',a') = f(a',a'),
     f(a',a') = b,
     f(a',a') = b ]
Overlay, check Innermost Termination...
unknown Innermost Terminating
unknown Knuth & Bendix
Left-Linear, not Right-Linear
Development Closed
Direct Methods: CR

Combined result: CR
/tmp/filebCU3Bs.trs: Success(CR)
(6 msec.)