MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(x1) -> b(b(c(x1)))
   c(a(b(x1))) -> a(a(c(x1)))
   c(b(x1)) -> x1
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [b](x0) = x0 + 16,
    
    [c](x0) = x0 + 17,
    
    [a](x0) = x0 + 19
   orientation:
    a(x1) = x1 + 19 >= x1 + 49 = b(b(c(x1)))
    
    c(a(b(x1))) = x1 + 52 >= x1 + 55 = a(a(c(x1)))
    
    c(b(x1)) = x1 + 33 >= x1 = x1
   problem:
    strict:
     a(x1) -> b(b(c(x1)))
     c(a(b(x1))) -> a(a(c(x1)))
    weak:
     c(b(x1)) -> x1
   Matrix Interpretation Processor:
    dimension: 1
    interpretation:
     [b](x0) = x0 + 17,
     
     [c](x0) = x0 + 16,
     
     [a](x0) = x0 + 16
    orientation:
     a(x1) = x1 + 16 >= x1 + 50 = b(b(c(x1)))
     
     c(a(b(x1))) = x1 + 49 >= x1 + 48 = a(a(c(x1)))
     
     c(b(x1)) = x1 + 33 >= x1 = x1
    problem:
     strict:
      a(x1) -> b(b(c(x1)))
     weak:
      c(a(b(x1))) -> a(a(c(x1)))
      c(b(x1)) -> x1
    Open