MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(x1) -> x1
   a(a(b(x1))) -> c(a(x1))
   a(c(x1)) -> c(b(a(a(x1))))
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [c](x0) = x0 + 1,
    
    [b](x0) = x0 + 6,
    
    [a](x0) = x0
   orientation:
    a(x1) = x1 >= x1 = x1
    
    a(a(b(x1))) = x1 + 6 >= x1 + 1 = c(a(x1))
    
    a(c(x1)) = x1 + 1 >= x1 + 7 = c(b(a(a(x1))))
   problem:
    strict:
     a(x1) -> x1
     a(c(x1)) -> c(b(a(a(x1))))
    weak:
     a(a(b(x1))) -> c(a(x1))
   Matrix Interpretation Processor:
    dimension: 1
    interpretation:
     [c](x0) = x0 + 1,
     
     [b](x0) = x0,
     
     [a](x0) = x0 + 1
    orientation:
     a(x1) = x1 + 1 >= x1 = x1
     
     a(c(x1)) = x1 + 2 >= x1 + 3 = c(b(a(a(x1))))
     
     a(a(b(x1))) = x1 + 2 >= x1 + 2 = c(a(x1))
    problem:
     strict:
      a(c(x1)) -> c(b(a(a(x1))))
     weak:
      a(x1) -> x1
      a(a(b(x1))) -> c(a(x1))
    Open