MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(x1) -> b(x1)
   a(b(b(x1))) -> c(x1)
   c(c(x1)) -> a(b(c(a(x1))))
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [c](x0) = x0 + 4,
    
    [b](x0) = x0,
    
    [a](x0) = x0
   orientation:
    a(x1) = x1 >= x1 = b(x1)
    
    a(b(b(x1))) = x1 >= x1 + 4 = c(x1)
    
    c(c(x1)) = x1 + 8 >= x1 + 4 = a(b(c(a(x1))))
   problem:
    strict:
     a(x1) -> b(x1)
     a(b(b(x1))) -> c(x1)
    weak:
     c(c(x1)) -> a(b(c(a(x1))))
   Matrix Interpretation Processor:
    dimension: 1
    interpretation:
     [c](x0) = x0 + 10,
     
     [b](x0) = x0 + 8,
     
     [a](x0) = x0 + 1
    orientation:
     a(x1) = x1 + 1 >= x1 + 8 = b(x1)
     
     a(b(b(x1))) = x1 + 17 >= x1 + 10 = c(x1)
     
     c(c(x1)) = x1 + 20 >= x1 + 20 = a(b(c(a(x1))))
    problem:
     strict:
      a(x1) -> b(x1)
     weak:
      a(b(b(x1))) -> c(x1)
      c(c(x1)) -> a(b(c(a(x1))))
    Open