MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   b(b(x1)) -> b(a(x1))
   a(b(x1)) -> b(c(c(x1)))
   a(c(x1)) -> a(a(x1))
   c(a(x1)) -> b(a(a(x1)))
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [c](x0) = x0 + 17,
    
    [a](x0) = x0 + 4,
    
    [b](x0) = x0 + 10
   orientation:
    b(b(x1)) = x1 + 20 >= x1 + 14 = b(a(x1))
    
    a(b(x1)) = x1 + 14 >= x1 + 44 = b(c(c(x1)))
    
    a(c(x1)) = x1 + 21 >= x1 + 8 = a(a(x1))
    
    c(a(x1)) = x1 + 21 >= x1 + 18 = b(a(a(x1)))
   problem:
    strict:
     a(b(x1)) -> b(c(c(x1)))
    weak:
     b(b(x1)) -> b(a(x1))
     a(c(x1)) -> a(a(x1))
     c(a(x1)) -> b(a(a(x1)))
   Open