MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(x1) -> x1
   a(x1) -> b(b(x1))
   b(b(b(c(x1)))) -> c(c(a(a(x1))))
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [c](x0) = x0 + 1,
    
    [b](x0) = x0 + 4,
    
    [a](x0) = x0 + 1
   orientation:
    a(x1) = x1 + 1 >= x1 = x1
    
    a(x1) = x1 + 1 >= x1 + 8 = b(b(x1))
    
    b(b(b(c(x1)))) = x1 + 13 >= x1 + 4 = c(c(a(a(x1))))
   problem:
    strict:
     a(x1) -> b(b(x1))
    weak:
     a(x1) -> x1
     b(b(b(c(x1)))) -> c(c(a(a(x1))))
   Open