MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(x1) -> b(x1)
   a(b(c(x1))) -> c(a(c(a(a(x1)))))
   c(c(x1)) -> x1
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [c](x0) = x0 + 24,
    
    [b](x0) = x0 + 16,
    
    [a](x0) = x0 + 4
   orientation:
    a(x1) = x1 + 4 >= x1 + 16 = b(x1)
    
    a(b(c(x1))) = x1 + 44 >= x1 + 60 = c(a(c(a(a(x1)))))
    
    c(c(x1)) = x1 + 48 >= x1 = x1
   problem:
    strict:
     a(x1) -> b(x1)
     a(b(c(x1))) -> c(a(c(a(a(x1)))))
    weak:
     c(c(x1)) -> x1
   Matrix Interpretation Processor:
    dimension: 1
    interpretation:
     [c](x0) = x0,
     
     [b](x0) = x0 + 25,
     
     [a](x0) = x0 + 12
    orientation:
     a(x1) = x1 + 12 >= x1 + 25 = b(x1)
     
     a(b(c(x1))) = x1 + 37 >= x1 + 36 = c(a(c(a(a(x1)))))
     
     c(c(x1)) = x1 >= x1 = x1
    problem:
     strict:
      a(x1) -> b(x1)
     weak:
      a(b(c(x1))) -> c(a(c(a(a(x1)))))
      c(c(x1)) -> x1
    Open