Input TRS:
    1: R(x,a(y)) -> R(a(x),y)
    2: R(x,b()) -> L(x,a(b()))
    3: L(a(x),y) -> L(x,a(y))
    4: L(b(),x) -> R(a(b()),x)
Number of strict rules: 4
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #R(x,b()) -> #L(x,a(b()))
   #2: #L(a(x),y) -> #L(x,a(y))
   #3: #R(x,a(y)) -> #R(a(x),y)
   #4: #L(b(),x) -> #R(a(b()),x)
Number of SCCs: 1, DPs: 4, edges: 8
	SCC { #1..4 }
Removing DPs: Order(PosReal,>,Sum)... Order(PosReal,>,Max)... QLPOpS... Order(PosReal,>,MaxSum)... QWPOpS(PosReal,>,MaxSum)... Order(PosReal,>,Sum-Sum; PosReal,≥,Sum-Sum)... Order(PosReal,>,Sum-Sum; NegReal,≥,Sum)... Order(PosReal,>,MaxSum-Sum; NegReal,≥,Sum)... failed.
Removing edges: failed.
Finding a loop...  failed.
MAYBE