MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(a(x1)) -> b(b(c(x1)))
   b(a(x1)) -> c(x1)
   c(b(x1)) -> a(a(x1))
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [b](x0) = x0 + 14,
    
    [c](x0) = x0 + 23,
    
    [a](x0) = x0 + 2
   orientation:
    a(a(x1)) = x1 + 4 >= x1 + 51 = b(b(c(x1)))
    
    b(a(x1)) = x1 + 16 >= x1 + 23 = c(x1)
    
    c(b(x1)) = x1 + 37 >= x1 + 4 = a(a(x1))
   problem:
    strict:
     a(a(x1)) -> b(b(c(x1)))
     b(a(x1)) -> c(x1)
    weak:
     c(b(x1)) -> a(a(x1))
   Matrix Interpretation Processor:
    dimension: 1
    interpretation:
     [b](x0) = x0 + 14,
     
     [c](x0) = x0 + 20,
     
     [a](x0) = x0 + 17
    orientation:
     a(a(x1)) = x1 + 34 >= x1 + 48 = b(b(c(x1)))
     
     b(a(x1)) = x1 + 31 >= x1 + 20 = c(x1)
     
     c(b(x1)) = x1 + 34 >= x1 + 34 = a(a(x1))
    problem:
     strict:
      a(a(x1)) -> b(b(c(x1)))
     weak:
      b(a(x1)) -> c(x1)
      c(b(x1)) -> a(a(x1))
    Open