Input TRS:
    1: f(0(),1(),x) -> f(g(x),g(x),x)
    2: f(g(x),y,z) -> g(f(x,y,z))
    3: f(x,g(y),z) -> g(f(x,y,z))
    4: f(x,y,g(z)) -> g(f(x,y,z))
Number of strict rules: 4
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #f(g(x),y,z) -> #f(x,y,z)
   #2: #f(x,g(y),z) -> #f(x,y,z)
   #3: #f(0(),1(),x) -> #f(g(x),g(x),x)
   #4: #f(x,y,g(z)) -> #f(x,y,z)
Number of SCCs: 1, DPs: 4, edges: 15
	SCC { #1..4 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     1()	weight: 0
     f(x1,x2,x3)	weight: 0
     0()	weight: 0
   #f(x1,x2,x3)	weight: x3
     g(x1)	weight: (/ 1 2) + x1
    Usable rules: { }
    Removed DPs: #4
Number of SCCs: 1, DPs: 3, edges: 8
	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