MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(a(x1)) -> b(x1)
   b(c(x1)) -> a(x1)
   c(b(x1)) -> b(c(c(a(x1))))
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [c](x0) = x0,
    
    [b](x0) = x0 + 1,
    
    [a](x0) = x0
   orientation:
    a(a(x1)) = x1 >= x1 + 1 = b(x1)
    
    b(c(x1)) = x1 + 1 >= x1 = a(x1)
    
    c(b(x1)) = x1 + 1 >= x1 + 1 = b(c(c(a(x1))))
   problem:
    strict:
     a(a(x1)) -> b(x1)
     c(b(x1)) -> b(c(c(a(x1))))
    weak:
     b(c(x1)) -> a(x1)
   Matrix Interpretation Processor:
    dimension: 1
    interpretation:
     [c](x0) = x0 + 16,
     
     [b](x0) = x0 + 6,
     
     [a](x0) = x0 + 22
    orientation:
     a(a(x1)) = x1 + 44 >= x1 + 6 = b(x1)
     
     c(b(x1)) = x1 + 22 >= x1 + 60 = b(c(c(a(x1))))
     
     b(c(x1)) = x1 + 22 >= x1 + 22 = a(x1)
    problem:
     strict:
      c(b(x1)) -> b(c(c(a(x1))))
     weak:
      a(a(x1)) -> b(x1)
      b(c(x1)) -> a(x1)
    Open