MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(x1) -> x1
   a(x1) -> b(x1)
   b(b(c(x1))) -> a(c(c(c(a(a(x1))))))
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [c](x0) = x0 + 7,
    
    [b](x0) = x0 + 9,
    
    [a](x0) = x0 + 1
   orientation:
    a(x1) = x1 + 1 >= x1 = x1
    
    a(x1) = x1 + 1 >= x1 + 9 = b(x1)
    
    b(b(c(x1))) = x1 + 25 >= x1 + 24 = a(c(c(c(a(a(x1))))))
   problem:
    strict:
     a(x1) -> b(x1)
    weak:
     a(x1) -> x1
     b(b(c(x1))) -> a(c(c(c(a(a(x1))))))
   Open