MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(x1) -> b(c(x1))
   b(b(x1)) -> x1
   c(c(b(x1))) -> b(c(a(c(x1))))
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [b](x0) = x0,
    
    [c](x0) = x0,
    
    [a](x0) = x0 + 4
   orientation:
    a(x1) = x1 + 4 >= x1 = b(c(x1))
    
    b(b(x1)) = x1 >= x1 = x1
    
    c(c(b(x1))) = x1 >= x1 + 4 = b(c(a(c(x1))))
   problem:
    strict:
     b(b(x1)) -> x1
     c(c(b(x1))) -> b(c(a(c(x1))))
    weak:
     a(x1) -> b(c(x1))
   Matrix Interpretation Processor:
    dimension: 1
    interpretation:
     [b](x0) = x0 + 4,
     
     [c](x0) = x0 + 2,
     
     [a](x0) = x0 + 6
    orientation:
     b(b(x1)) = x1 + 8 >= x1 = x1
     
     c(c(b(x1))) = x1 + 8 >= x1 + 14 = b(c(a(c(x1))))
     
     a(x1) = x1 + 6 >= x1 + 6 = b(c(x1))
    problem:
     strict:
      c(c(b(x1))) -> b(c(a(c(x1))))
     weak:
      b(b(x1)) -> x1
      a(x1) -> b(c(x1))
    Open