Input TRS:
    1: f(f(f(f(j(),a),b),c),d) -> f(f(a,b),f(f(a,d),c))
Number of strict rules: 1
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #f(f(f(f(j(),a),b),c),d) -> #f(f(a,b),f(f(a,d),c))
   #2: #f(f(f(f(j(),a),b),c),d) -> #f(a,b)
   #3: #f(f(f(f(j(),a),b),c),d) -> #f(f(a,d),c)
   #4: #f(f(f(f(j(),a),b),c),d) -> #f(a,d)
Number of SCCs: 1, DPs: 4, edges: 16
	SCC { #1..4 }
Removing DPs: Order(PosReal,>,Sum)... Order(PosReal,>,Max)... QLPOpS... Order(PosReal,>,MaxSum)... succeeded.
     f(x1,x2)	weight: max{0, (/ 1 8) + x1, (- (/ 1 8)) + x2}
   #f(x1,x2)	weight: max{0, (/ 3 16) + x1, (/ 1 16) + x2}
     j()	weight: 0
    Usable rules: { 1 }
    Removed DPs: #2
Number of SCCs: 1, DPs: 3, edges: 9
	SCC { #1 #3 #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