MAYBE
Rewrite Rules:
   [ f(?x,?x) -> g(?x),
     f(?x,g(?x)) -> b,
     h(c,?y) -> f(h(?y,c),h(?y,?y)) ]
Apply Direct Methods...
Inner CPs:
   [  ]
Outer CPs:
   [  ]
Overlay, check Innermost Termination...
unknown Innermost Terminating
not Left-Linear, not Right-Linear
unknown Gomi&Oyamaguchi&Ohta
check Non-Confluence...Unknown
Direct Methods: Can't judge

Try Persistent Decomposition for...
   [ f(?x,?x) -> g(?x),
     f(?x,g(?x)) -> b,
     h(c,?y) -> f(h(?y,c),h(?y,?y)) ]
Sort Assignment:
 b : =>14
 c : =>11
 f : 14*14=>14
 g : 14=>14
 h : 11*11=>14
maximal types: {11,14}
Persistent Decomposition failed: Can't judge

Try Layer Preserving Decomposition for...
   [ f(?x,?x) -> g(?x),
     f(?x,g(?x)) -> b,
     h(c,?y) -> f(h(?y,c),h(?y,?y)) ]
Layer Preserving Decomposition failed: Can't judge

Try Commutative Decomposition for...
   [ f(?x,?x) -> g(?x),
     f(?x,g(?x)) -> b,
     h(c,?y) -> f(h(?y,c),h(?y,?y)) ]
Commutative Decomposition failed: Can't judge
No further decomposition possible


Final result: Can't judge
16.trs: MAYBE (16 msec.)