MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(a(b(c(x1)))) -> b(b(a(a(x1))))
   b(x1) -> c(c(a(a(x1))))
   b(c(x1)) -> a(x1)
   a(a(c(x1))) -> x1
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [a](x0) = x0 + 1,
    
    [b](x0) = x0,
    
    [c](x0) = x0
   orientation:
    a(a(b(c(x1)))) = x1 + 2 >= x1 + 2 = b(b(a(a(x1))))
    
    b(x1) = x1 >= x1 + 2 = c(c(a(a(x1))))
    
    b(c(x1)) = x1 >= x1 + 1 = a(x1)
    
    a(a(c(x1))) = x1 + 2 >= x1 = x1
   problem:
    strict:
     a(a(b(c(x1)))) -> b(b(a(a(x1))))
     b(x1) -> c(c(a(a(x1))))
     b(c(x1)) -> a(x1)
    weak:
     a(a(c(x1))) -> x1
   Matrix Interpretation Processor:
    dimension: 1
    interpretation:
     [a](x0) = x0,
     
     [b](x0) = x0 + 12,
     
     [c](x0) = x0 + 21
    orientation:
     a(a(b(c(x1)))) = x1 + 33 >= x1 + 24 = b(b(a(a(x1))))
     
     b(x1) = x1 + 12 >= x1 + 42 = c(c(a(a(x1))))
     
     b(c(x1)) = x1 + 33 >= x1 = a(x1)
     
     a(a(c(x1))) = x1 + 21 >= x1 = x1
    problem:
     strict:
      b(x1) -> c(c(a(a(x1))))
     weak:
      a(a(b(c(x1)))) -> b(b(a(a(x1))))
      b(c(x1)) -> a(x1)
      a(a(c(x1))) -> x1
    Open