YES
(ignored inputs)COMMENT doi:10.1007/978-3-319-43144-4_18 [110] Example 4
Rewrite Rules:
   [ f(a,a,b,b) -> f(c,c,c,c),
     a -> b,
     a -> c,
     b -> a,
     b -> c ]
Apply Direct Methods...
Inner CPs:
   [ f(b,a,b,b) = f(c,c,c,c),
     f(a,b,b,b) = f(c,c,c,c),
     f(c,a,b,b) = f(c,c,c,c),
     f(a,c,b,b) = f(c,c,c,c),
     f(a,a,a,b) = f(c,c,c,c),
     f(a,a,b,a) = f(c,c,c,c),
     f(a,a,c,b) = f(c,c,c,c),
     f(a,a,b,c) = f(c,c,c,c) ]
Outer CPs:
   [ b = c,
     a = c ]
not Overlay, check Termination...
unknown/not Terminating
unknown Knuth & Bendix
Linear
Development Closed
Direct Methods: CR

Combined result: CR
503.trs: Success(CR)
(12 msec.)