MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(a(x1)) -> x1
   b(b(x1)) -> a(b(c(x1)))
   c(c(x1)) -> b(b(b(x1)))
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [c](x0) = x0 + 16,
    
    [b](x0) = x0,
    
    [a](x0) = x0
   orientation:
    a(a(x1)) = x1 >= x1 = x1
    
    b(b(x1)) = x1 >= x1 + 16 = a(b(c(x1)))
    
    c(c(x1)) = x1 + 32 >= x1 = b(b(b(x1)))
   problem:
    strict:
     a(a(x1)) -> x1
     b(b(x1)) -> a(b(c(x1)))
    weak:
     c(c(x1)) -> b(b(b(x1)))
   Matrix Interpretation Processor:
    dimension: 1
    interpretation:
     [c](x0) = x0,
     
     [b](x0) = x0,
     
     [a](x0) = x0 + 18
    orientation:
     a(a(x1)) = x1 + 36 >= x1 = x1
     
     b(b(x1)) = x1 >= x1 + 18 = a(b(c(x1)))
     
     c(c(x1)) = x1 >= x1 = b(b(b(x1)))
    problem:
     strict:
      b(b(x1)) -> a(b(c(x1)))
     weak:
      a(a(x1)) -> x1
      c(c(x1)) -> b(b(b(x1)))
    Open