MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(x1) -> b(x1)
   a(a(b(x1))) -> a(b(a(a(c(x1)))))
   c(b(x1)) -> x1
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [c](x0) = x0 + 31,
    
    [b](x0) = x0 + 2,
    
    [a](x0) = x0 + 1
   orientation:
    a(x1) = x1 + 1 >= x1 + 2 = b(x1)
    
    a(a(b(x1))) = x1 + 4 >= x1 + 36 = a(b(a(a(c(x1)))))
    
    c(b(x1)) = x1 + 33 >= x1 = x1
   problem:
    strict:
     a(x1) -> b(x1)
     a(a(b(x1))) -> a(b(a(a(c(x1)))))
    weak:
     c(b(x1)) -> x1
   Matrix Interpretation Processor:
    dimension: 1
    interpretation:
     [c](x0) = x0 + 30,
     
     [b](x0) = x0,
     
     [a](x0) = x0 + 3
    orientation:
     a(x1) = x1 + 3 >= x1 = b(x1)
     
     a(a(b(x1))) = x1 + 6 >= x1 + 39 = a(b(a(a(c(x1)))))
     
     c(b(x1)) = x1 + 30 >= x1 = x1
    problem:
     strict:
      a(a(b(x1))) -> a(b(a(a(c(x1)))))
     weak:
      a(x1) -> b(x1)
      c(b(x1)) -> x1
    Open