Input TRS:
    1: a(a(a(S(),x),y),z) -> a(a(x,z),a(y,z))
Number of strict rules: 1
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #a(a(a(S(),x),y),z) -> #a(a(x,z),a(y,z))
   #2: #a(a(a(S(),x),y),z) -> #a(x,z)
   #3: #a(a(a(S(),x),y),z) -> #a(y,z)
Number of SCCs: 1, DPs: 3, edges: 9
	SCC { #1..3 }
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