MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(x1) -> x1
   a(x1) -> b(b(x1))
   b(a(c(x1))) -> c(c(a(a(x1))))
   c(x1) -> x1
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [c](x0) = x0 + 2,
    
    [b](x0) = x0 + 22,
    
    [a](x0) = x0 + 16
   orientation:
    a(x1) = x1 + 16 >= x1 = x1
    
    a(x1) = x1 + 16 >= x1 + 44 = b(b(x1))
    
    b(a(c(x1))) = x1 + 40 >= x1 + 36 = c(c(a(a(x1))))
    
    c(x1) = x1 + 2 >= x1 = x1
   problem:
    strict:
     a(x1) -> b(b(x1))
    weak:
     a(x1) -> x1
     b(a(c(x1))) -> c(c(a(a(x1))))
     c(x1) -> x1
   Open