Input TRS:
    1: times(x,plus(y,s(z))) -> plus(times(x,plus(y,times(s(z),0()))),times(x,s(z)))
    2: times(x,0()) -> 0()
    3: times(x,s(y)) -> plus(times(x,y),x)
    4: plus(x,0()) -> x
    5: plus(x,s(y)) -> s(plus(x,y))
    6: rand(x) ->= x
    7: rand(x) ->= rand(s(x))
Number of strict rules: 5
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #plus(x,s(y)) -> #plus(x,y)
   #2: #times(x,s(y)) -> #plus(times(x,y),x)
   #3: #times(x,s(y)) -> #times(x,y)
   #4: #times(x,plus(y,s(z))) -> #plus(times(x,plus(y,times(s(z),0()))),times(x,s(z)))
   #5: #times(x,plus(y,s(z))) -> #times(x,plus(y,times(s(z),0())))
   #6: #times(x,plus(y,s(z))) -> #plus(y,times(s(z),0()))
   #7: #times(x,plus(y,s(z))) -> #times(s(z),0())
   #8: #times(x,plus(y,s(z))) -> #times(x,s(z))
Number of SCCs: 2, DPs: 4, edges: 8
	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