MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(x1) -> x1
   a(b(x1)) -> b(c(a(x1)))
   c(a(c(x1))) -> b(a(a(x1)))
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [c](x0) = x0 + 17,
    
    [b](x0) = x0,
    
    [a](x0) = x0 + 1
   orientation:
    a(x1) = x1 + 1 >= x1 = x1
    
    a(b(x1)) = x1 + 1 >= x1 + 18 = b(c(a(x1)))
    
    c(a(c(x1))) = x1 + 35 >= x1 + 2 = b(a(a(x1)))
   problem:
    strict:
     a(b(x1)) -> b(c(a(x1)))
    weak:
     a(x1) -> x1
     c(a(c(x1))) -> b(a(a(x1)))
   Open