MAYBE

Problem:
 a(b(x1)) -> c(b(x1))
 c(c(x1)) -> d(b(x1))
 d(x1) -> c(e(x1))
 b(b(x1)) -> f(x1)
 c(b(x1)) -> g(x1)
 e(x1) -> f(x1)
 e(x1) -> b(b(x1))
 f(g(x1)) -> a(c(x1))
 g(f(x1)) -> e(x1)
 a(x1) -> b(c(x1))

Proof:
 DP Processor:
  DPs:
   a#(b(x1)) -> c#(b(x1))
   c#(c(x1)) -> b#(x1)
   c#(c(x1)) -> d#(b(x1))
   d#(x1) -> e#(x1)
   d#(x1) -> c#(e(x1))
   b#(b(x1)) -> f#(x1)
   c#(b(x1)) -> g#(x1)
   e#(x1) -> f#(x1)
   e#(x1) -> b#(x1)
   e#(x1) -> b#(b(x1))
   f#(g(x1)) -> c#(x1)
   f#(g(x1)) -> a#(c(x1))
   g#(f(x1)) -> e#(x1)
   a#(x1) -> c#(x1)
   a#(x1) -> b#(c(x1))
  TRS:
   a(b(x1)) -> c(b(x1))
   c(c(x1)) -> d(b(x1))
   d(x1) -> c(e(x1))
   b(b(x1)) -> f(x1)
   c(b(x1)) -> g(x1)
   e(x1) -> f(x1)
   e(x1) -> b(b(x1))
   f(g(x1)) -> a(c(x1))
   g(f(x1)) -> e(x1)
   a(x1) -> b(c(x1))
  Open