YES
(ignored inputs)COMMENT reduction failed
Rewrite Rules:
   [ g(f(b,?x)) -> g(h(h(f(f(h(k(k(?x,?x),?x)),h(k(k(?x,?x),?x))),h(k(k(?x,?x),?x)))))),
     f(?x,b) -> h(f(f(?x,?x),?x)),
     k(?x,b) -> f(?x,b) ]
Apply Direct Methods...
Inner CPs:
   [ g(h(f(f(b,b),b))) = g(h(h(f(f(h(k(k(b,b),b)),h(k(k(b,b),b))),h(k(k(b,b),b)))))) ]
Outer CPs:
   [  ]
not Overlay, check Termination...
unknown/not Terminating
unknown Knuth & Bendix
Left-Linear, not Right-Linear
unknown Development Closed
unknown Weakly-Non-Overlapping & Non-Collapsing & Shallow
inner CP cond (upside-parallel)
innter CP Cond (outside)
unknown Upside-Parallel-Closed/Outside-Closed
(inner) Parallel CPs: (not computed)
unknown Toyama (Parallel CPs)
Simultaneous CPs:
   [ g(h(f(f(b,b),b))) = g(h(h(f(f(h(k(k(b,b),b)),h(k(k(b,b),b))),h(k(k(b,b),b)))))),
     g(h(h(f(f(h(k(k(b,b),b)),h(k(k(b,b),b))),h(k(k(b,b),b)))))) = g(h(f(f(b,b),b))) ]
Okui (Simultaneous CPs)
Direct Methods: CR

Combined result: CR
/tmp/file7QCx46.trs: Success(CR)
(57 msec.)