MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(x1) -> b(x1)
   a(x1) -> c(x1)
   a(b(x1)) -> b(a(c(x1)))
   c(c(x1)) -> a(x1)
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [c](x0) = x0 + 17,
    
    [b](x0) = x0 + 12,
    
    [a](x0) = x0 + 24
   orientation:
    a(x1) = x1 + 24 >= x1 + 12 = b(x1)
    
    a(x1) = x1 + 24 >= x1 + 17 = c(x1)
    
    a(b(x1)) = x1 + 36 >= x1 + 53 = b(a(c(x1)))
    
    c(c(x1)) = x1 + 34 >= x1 + 24 = a(x1)
   problem:
    strict:
     a(b(x1)) -> b(a(c(x1)))
    weak:
     a(x1) -> b(x1)
     a(x1) -> c(x1)
     c(c(x1)) -> a(x1)
   Open