Input TRS:
    1: f(x,f(a(),a())) -> f(f(f(a(),a()),a()),f(a(),x))
Number of strict rules: 1
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #f(x,f(a(),a())) -> #f(f(f(a(),a()),a()),f(a(),x))
   #2: #f(x,f(a(),a())) -> #f(f(a(),a()),a())
   #3: #f(x,f(a(),a())) -> #f(a(),x)
Number of SCCs: 1, DPs: 2, edges: 4
	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)... succeeded.
     a()	weight: (/ 1 2); (/ 1 4)
     f(x1,x2)	weight: 0; x1_1
   #f(x1,x2)	weight: x2_2 + x1_2; 0
    Usable rules: { 1 }
    Removed DPs: #3
Number of SCCs: 1, DPs: 1, edges: 1
	SCC { #1 }
Removing DPs: Order(PosReal,>,Sum)... Order(PosReal,>,Max)... QLPOpS... Order(PosReal,>,MaxSum)... succeeded.
     a()	weight: (/ 7 8)
     f(x1,x2)	weight: max{0, (- (/ 5 4)) + x2 + x1}
   #f(x1,x2)	weight: max{0, (/ 1 8) + x2 + x1}
    Usable rules: { 1 }
    Removed DPs: #1
Number of SCCs: 0, DPs: 0, edges: 0
YES