MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(x1) -> b(x1)
   a(b(x1)) -> x1
   b(c(c(x1))) -> c(c(b(c(a(x1)))))
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [c](x0) = x0 + 1,
    
    [b](x0) = x0 + 13,
    
    [a](x0) = x0 + 1
   orientation:
    a(x1) = x1 + 1 >= x1 + 13 = b(x1)
    
    a(b(x1)) = x1 + 14 >= x1 = x1
    
    b(c(c(x1))) = x1 + 15 >= x1 + 17 = c(c(b(c(a(x1)))))
   problem:
    strict:
     a(x1) -> b(x1)
     b(c(c(x1))) -> c(c(b(c(a(x1)))))
    weak:
     a(b(x1)) -> x1
   Matrix Interpretation Processor:
    dimension: 1
    interpretation:
     [c](x0) = x0 + 1,
     
     [b](x0) = x0 + 13,
     
     [a](x0) = x0 + 25
    orientation:
     a(x1) = x1 + 25 >= x1 + 13 = b(x1)
     
     b(c(c(x1))) = x1 + 15 >= x1 + 41 = c(c(b(c(a(x1)))))
     
     a(b(x1)) = x1 + 38 >= x1 = x1
    problem:
     strict:
      b(c(c(x1))) -> c(c(b(c(a(x1)))))
     weak:
      a(x1) -> b(x1)
      a(b(x1)) -> x1
    Open