Input TRS:
    1: f(x,c(x),c(y)) -> f(y,y,f(y,x,y))
    2: f(s(x),y,z) -> f(x,s(c(y)),c(z))
    3: f(c(x),x,y) -> c(y)
    4: g(x,y) -> x
    5: g(x,y) -> y
Number of strict rules: 5
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #f(s(x),y,z) -> #f(x,s(c(y)),c(z))
   #2: #f(x,c(x),c(y)) -> #f(y,y,f(y,x,y))
   #3: #f(x,c(x),c(y)) -> #f(y,x,y)
Number of SCCs: 2, DPs: 3, edges: 5
	SCC { #1 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     s(x1)	weight: (/ 1 4) + x1
     c(x1)	weight: (/ 1 4)
     f(x1,x2,x3)	weight: 0
   #f(x1,x2,x3)	weight: x1
   #g(x1,x2)	weight: 0
     g(x1,x2)	weight: 0
    Usable rules: { }
    Removed DPs: #1
Number of SCCs: 1, DPs: 2, edges: 4
	SCC { #2 #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