MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(x1) -> b(x1)
   a(c(x1)) -> x1
   c(b(b(x1))) -> a(a(a(c(c(x1)))))
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [c](x0) = x0 + 21,
    
    [b](x0) = x0 + 6,
    
    [a](x0) = x0 + 3
   orientation:
    a(x1) = x1 + 3 >= x1 + 6 = b(x1)
    
    a(c(x1)) = x1 + 24 >= x1 = x1
    
    c(b(b(x1))) = x1 + 33 >= x1 + 51 = a(a(a(c(c(x1)))))
   problem:
    strict:
     a(x1) -> b(x1)
     c(b(b(x1))) -> a(a(a(c(c(x1)))))
    weak:
     a(c(x1)) -> x1
   Matrix Interpretation Processor:
    dimension: 1
    interpretation:
     [c](x0) = x0 + 14,
     
     [b](x0) = x0,
     
     [a](x0) = x0 + 5
    orientation:
     a(x1) = x1 + 5 >= x1 = b(x1)
     
     c(b(b(x1))) = x1 + 14 >= x1 + 43 = a(a(a(c(c(x1)))))
     
     a(c(x1)) = x1 + 19 >= x1 = x1
    problem:
     strict:
      c(b(b(x1))) -> a(a(a(c(c(x1)))))
     weak:
      a(x1) -> b(x1)
      a(c(x1)) -> x1
    Open