MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(x1) -> b(x1)
   a(a(c(x1))) -> c(a(c(a(a(x1)))))
   c(c(x1)) -> x1
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [c](x0) = x0 + 1,
    
    [b](x0) = x0,
    
    [a](x0) = x0 + 12
   orientation:
    a(x1) = x1 + 12 >= x1 = b(x1)
    
    a(a(c(x1))) = x1 + 25 >= x1 + 38 = c(a(c(a(a(x1)))))
    
    c(c(x1)) = x1 + 2 >= x1 = x1
   problem:
    strict:
     a(a(c(x1))) -> c(a(c(a(a(x1)))))
    weak:
     a(x1) -> b(x1)
     c(c(x1)) -> x1
   Open