MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(x1) -> b(x1)
   a(a(x1)) -> a(b(a(c(x1))))
   c(b(b(x1))) -> a(x1)
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [c](x0) = x0 + 9,
    
    [b](x0) = x0 + 21,
    
    [a](x0) = x0 + 16
   orientation:
    a(x1) = x1 + 16 >= x1 + 21 = b(x1)
    
    a(a(x1)) = x1 + 32 >= x1 + 62 = a(b(a(c(x1))))
    
    c(b(b(x1))) = x1 + 51 >= x1 + 16 = a(x1)
   problem:
    strict:
     a(x1) -> b(x1)
     a(a(x1)) -> a(b(a(c(x1))))
    weak:
     c(b(b(x1))) -> a(x1)
   Matrix Interpretation Processor:
    dimension: 1
    interpretation:
     [c](x0) = x0 + 15,
     
     [b](x0) = x0 + 3,
     
     [a](x0) = x0 + 6
    orientation:
     a(x1) = x1 + 6 >= x1 + 3 = b(x1)
     
     a(a(x1)) = x1 + 12 >= x1 + 30 = a(b(a(c(x1))))
     
     c(b(b(x1))) = x1 + 21 >= x1 + 6 = a(x1)
    problem:
     strict:
      a(a(x1)) -> a(b(a(c(x1))))
     weak:
      a(x1) -> b(x1)
      c(b(b(x1))) -> a(x1)
    Open