MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(x1) -> x1
   a(a(b(x1))) -> c(c(c(x1)))
   c(x1) -> b(a(x1))
   c(b(x1)) -> x1
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [c](x0) = x0,
    
    [b](x0) = x0 + 1,
    
    [a](x0) = x0 + 31
   orientation:
    a(x1) = x1 + 31 >= x1 = x1
    
    a(a(b(x1))) = x1 + 63 >= x1 = c(c(c(x1)))
    
    c(x1) = x1 >= x1 + 32 = b(a(x1))
    
    c(b(x1)) = x1 + 1 >= x1 = x1
   problem:
    strict:
     c(x1) -> b(a(x1))
    weak:
     a(x1) -> x1
     a(a(b(x1))) -> c(c(c(x1)))
     c(b(x1)) -> x1
   Open