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