MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(x1) -> b(x1)
   a(b(x1)) -> b(b(a(c(c(a(x1))))))
   c(b(x1)) -> x1
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [c](x0) = x0 + 1,
    
    [b](x0) = x0,
    
    [a](x0) = x0 + 7
   orientation:
    a(x1) = x1 + 7 >= x1 = b(x1)
    
    a(b(x1)) = x1 + 7 >= x1 + 16 = b(b(a(c(c(a(x1))))))
    
    c(b(x1)) = x1 + 1 >= x1 = x1
   problem:
    strict:
     a(b(x1)) -> b(b(a(c(c(a(x1))))))
    weak:
     a(x1) -> b(x1)
     c(b(x1)) -> x1
   Open