Input TRS:
    1: h(e(x),y) -> h(d(x,y),s(y))
    2: d(g(g(0(),x),y),s(z)) -> g(e(x),d(g(g(0(),x),y),z))
    3: d(g(g(0(),x),y),0()) -> e(y)
    4: d(g(0(),x),y) -> e(x)
    5: d(g(x,y),z) -> g(d(x,z),e(y))
    6: g(e(x),e(y)) -> e(g(x,y))
Number of strict rules: 6
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #d(g(g(0(),x),y),s(z)) -> #g(e(x),d(g(g(0(),x),y),z))
   #2: #d(g(g(0(),x),y),s(z)) -> #d(g(g(0(),x),y),z)
   #3: #g(e(x),e(y)) -> #g(x,y)
   #4: #d(g(x,y),z) -> #g(d(x,z),e(y))
   #5: #d(g(x,y),z) -> #d(x,z)
   #6: #h(e(x),y) -> #h(d(x,y),s(y))
   #7: #h(e(x),y) -> #d(x,y)
Number of SCCs: 3, DPs: 4, edges: 6
	SCC { #3 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     h(x1,x2)	weight: 0
     d(x1,x2)	weight: 0
     s(x1)	weight: 0
     0()	weight: 0
   #h(x1,x2)	weight: 0
   #d(x1,x2)	weight: 0
   #g(x1,x2)	weight: x2
     e(x1)	weight: (/ 1 2) + x1
     g(x1,x2)	weight: 0
    Usable rules: { }
    Removed DPs: #3
Number of SCCs: 2, DPs: 3, edges: 5
	SCC { #6 }
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