Input TRS:
    1: f(g(x),y,z) -> f(x,y,g(z))
    2: f(x,y,g(z)) ->= f(x,g(y),z)
    3: f(x,a(),z) ->= f(x,g(a()),z)
    4: f(x,y,z) ->= f(x,y,g(z))
Number of strict rules: 1
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #f(x,y,g(z)) ->? #f(x,g(y),z)
   #2: #f(x,a(),z) ->? #f(x,g(a()),z)
   #3: #f(g(x),y,z) -> #f(x,y,g(z))
   #4: #f(x,y,z) ->? #f(x,y,g(z))
Number of SCCs: 1, DPs: 4, edges: 14
	SCC { #1..4 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     a()	weight: 0
     f(x1,x2,x3)	weight: 0
   #f(x1,x2,x3)	weight: x1
     g(x1)	weight: (/ 1 2) + x1
    Usable rules: { }
    Removed DPs: #3
Number of SCCs: 1, DPs: 3, edges: 7
	SCC { #1 #2 #4 }
Removing DPs: Order(PosReal,>,Sum)... Order(PosReal,>,Max)... succeeded.
     a()	weight: (/ 1 2)
     f(x1,x2,x3)	weight: 0
   #f(x1,x2,x3)	weight: max{0, x2}
     g(x1)	weight: 0
    Usable rules: { }
    Removed DPs: #2
Number of SCCs: 1, DPs: 2, edges: 4
	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