MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(x1) -> x1
   a(x1) -> b(b(c(x1)))
   a(c(b(x1))) -> c(a(a(x1)))
   c(x1) -> x1
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [b](x0) = x0 + 29,
    
    [c](x0) = x0 + 3,
    
    [a](x0) = x0 + 18
   orientation:
    a(x1) = x1 + 18 >= x1 = x1
    
    a(x1) = x1 + 18 >= x1 + 61 = b(b(c(x1)))
    
    a(c(b(x1))) = x1 + 50 >= x1 + 39 = c(a(a(x1)))
    
    c(x1) = x1 + 3 >= x1 = x1
   problem:
    strict:
     a(x1) -> b(b(c(x1)))
    weak:
     a(x1) -> x1
     a(c(b(x1))) -> c(a(a(x1)))
     c(x1) -> x1
   Open