MAYBE
(ignored inputs)COMMENT from van Oostrom ( AJSW 2016 ) submitted by: Vincent van Oostrom
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,?y) -> q(?x,?y,?y),
     q(?x,?y,b) -> r(?x,?y),
     r(?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:
   [  ]
Left-Linear, not Right-Linear
(inner) Parallel CPs: (not computed)
unknown Toyama (Parallel CPs)
Direct Methods: Can't judge

Combined result: Can't judge
556.trs: Failure(unknown CR)
(0 msec.)