MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(x1) -> x1
   a(x1) -> b(x1)
   a(c(b(x1))) -> c(c(a(a(x1))))
   c(x1) -> b(x1)
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [c](x0) = x0 + 1,
    
    [b](x0) = x0,
    
    [a](x0) = x0 + 2
   orientation:
    a(x1) = x1 + 2 >= x1 = x1
    
    a(x1) = x1 + 2 >= x1 = b(x1)
    
    a(c(b(x1))) = x1 + 3 >= x1 + 6 = c(c(a(a(x1))))
    
    c(x1) = x1 + 1 >= x1 = b(x1)
   problem:
    strict:
     a(c(b(x1))) -> c(c(a(a(x1))))
    weak:
     a(x1) -> x1
     a(x1) -> b(x1)
     c(x1) -> b(x1)
   Open