MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(x1) -> b(b(c(x1)))
   a(b(x1)) -> x1
   c(c(b(x1))) -> a(a(c(x1)))
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [b](x0) = x0 + 21,
    
    [c](x0) = x0 + 20,
    
    [a](x0) = x0 + 12
   orientation:
    a(x1) = x1 + 12 >= x1 + 62 = b(b(c(x1)))
    
    a(b(x1)) = x1 + 33 >= x1 = x1
    
    c(c(b(x1))) = x1 + 61 >= x1 + 44 = a(a(c(x1)))
   problem:
    strict:
     a(x1) -> b(b(c(x1)))
    weak:
     a(b(x1)) -> x1
     c(c(b(x1))) -> a(a(c(x1)))
   Open