MAYBE

Problem:
 a(x1) -> b(c(x1))
 a(b(b(x1))) -> b(b(a(a(x1))))
 c(b(x1)) -> x1

Proof:
 RT Transformation Processor:
  strict:
   a(x1) -> b(c(x1))
   a(b(b(x1))) -> b(b(a(a(x1))))
   c(b(x1)) -> x1
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [b](x0) = x0,
    
    [c](x0) = x0 + 19,
    
    [a](x0) = x0
   orientation:
    a(x1) = x1 >= x1 + 19 = b(c(x1))
    
    a(b(b(x1))) = x1 >= x1 = b(b(a(a(x1))))
    
    c(b(x1)) = x1 + 19 >= x1 = x1
   problem:
    strict:
     a(x1) -> b(c(x1))
     a(b(b(x1))) -> b(b(a(a(x1))))
    weak:
     c(b(x1)) -> x1
   Matrix Interpretation Processor:
    dimension: 1
    interpretation:
     [b](x0) = x0 + 4,
     
     [c](x0) = x0 + 2,
     
     [a](x0) = x0 + 16
    orientation:
     a(x1) = x1 + 16 >= x1 + 6 = b(c(x1))
     
     a(b(b(x1))) = x1 + 24 >= x1 + 40 = b(b(a(a(x1))))
     
     c(b(x1)) = x1 + 6 >= x1 = x1
    problem:
     strict:
      a(b(b(x1))) -> b(b(a(a(x1))))
     weak:
      a(x1) -> b(c(x1))
      c(b(x1)) -> x1
    Open