Input TRS:
    1: top(old(x)) -> top(check(x))
    2: top(new(x)) -> top(check(x))
    3: bot() ->= new(bot())
    4: check(new(x)) ->= new(check(x))
    5: check(old(x)) ->= old(check(x))
    6: check(old(x)) ->= old(x)
Number of strict rules: 2
Direct Order(PosReal,>,Poly) ... removes: 1
   new(x1)	weight: x1
   top(x1)	weight: x1
   bot()	weight: (/ 1 4)
 check(x1)	weight: x1
   old(x1)	weight: (/ 1 4) + x1
Number of strict rules: 1
Direct Order(PosReal,>,Poly) ... removes: 5 6
   new(x1)	weight: 2 * x1
   top(x1)	weight: x1
   bot()	weight: 0
 check(x1)	weight: 2 * x1
   old(x1)	weight: (/ 1 4) + x1
Number of strict rules: 1
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #top(new(x)) -> #top(check(x))
Number of SCCs: 1, DPs: 1, edges: 1
	SCC { #1 }
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