MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(x1) -> x1
   a(b(x1)) -> b(a(c(b(a(c(x1))))))
   b(x1) -> x1
   c(c(x1)) -> x1
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [c](x0) = x0 + 4,
    
    [b](x0) = x0 + 17,
    
    [a](x0) = x0 + 3
   orientation:
    a(x1) = x1 + 3 >= x1 = x1
    
    a(b(x1)) = x1 + 20 >= x1 + 48 = b(a(c(b(a(c(x1))))))
    
    b(x1) = x1 + 17 >= x1 = x1
    
    c(c(x1)) = x1 + 8 >= x1 = x1
   problem:
    strict:
     a(b(x1)) -> b(a(c(b(a(c(x1))))))
    weak:
     a(x1) -> x1
     b(x1) -> x1
     c(c(x1)) -> x1
   Open