MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(x1) -> x1
   a(b(a(b(x1)))) -> c(b(c(x1)))
   c(x1) -> b(a(a(x1)))
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [c](x0) = x0 + 3,
    
    [b](x0) = x0,
    
    [a](x0) = x0 + 1
   orientation:
    a(x1) = x1 + 1 >= x1 = x1
    
    a(b(a(b(x1)))) = x1 + 2 >= x1 + 6 = c(b(c(x1)))
    
    c(x1) = x1 + 3 >= x1 + 2 = b(a(a(x1)))
   problem:
    strict:
     a(b(a(b(x1)))) -> c(b(c(x1)))
    weak:
     a(x1) -> x1
     c(x1) -> b(a(a(x1)))
   Open