YES
Rewrite Rules:
   [ f(?x,?x,?y) -> h(?y,c),
     g(?x) -> f(?x,c,g(c)),
     c -> h(c,c) ]
Apply Direct Methods...
Inner CPs:
   [  ]
Outer CPs:
   [  ]
Overlay, check Innermost Termination...
unknown Innermost Terminating
not Left-Linear, Right-Linear
Ohta&Oyamaguchi&Toyama
Direct Methods: CR

Final result: CR
79.trs: YES (0 msec.)