YES
(ignored inputs)COMMENT [17] Example 4 submitted by: Takahito Aoto , Junichi Yoshida , and Yoshihito Toyama
Rewrite Rules:
   [ h(f,a,a) -> h(g,a,a),
     h(g,a,a) -> h(f,a,a),
     a -> a',
     h(?x,a',?y) -> h(?x,?y,?y),
     g -> f,
     f -> g ]
Apply Direct Methods...
Inner CPs:
   [ h(f,a',a) = h(g,a,a),
     h(f,a,a') = h(g,a,a),
     h(g,a,a) = h(g,a,a),
     h(g,a',a) = h(f,a,a),
     h(g,a,a') = h(f,a,a),
     h(f,a,a) = h(f,a,a) ]
Outer CPs:
   [  ]
Left-Linear, not Right-Linear
(inner) Parallel CPs:
   [ h(f,a,a') = h(g,a,a) {},
     h(f,a',a) = h(g,a,a) {},
     h(f,a',a') = h(g,a,a) {},
     h(g,a,a) = h(g,a,a) {},
     h(g,a,a') = h(g,a,a) {},
     h(g,a',a) = h(g,a,a) {},
     h(g,a',a') = h(g,a,a) {},
     h(g,a,a') = h(f,a,a) {},
     h(g,a',a) = h(f,a,a) {},
     h(g,a',a') = h(f,a,a) {},
     h(f,a,a) = h(f,a,a) {},
     h(f,a,a') = h(f,a,a) {},
     h(f,a',a) = h(f,a,a) {},
     h(f,a',a') = h(f,a,a) {} ]
Toyama (Parallel CPs)
Direct Methods: CR

Combined result: CR
65.trs: Success(CR)
(0 msec.)