Input TRS:
    1: f(x,z,s(s(s(s(s(s(s(y))))))),z) -> f(x,|0|(),s(s(y)),z)
    2: f(x,z,s(s(s(s(s(s(|0|())))))),z) -> f(s(s(s(s(s(s(s(s(|0|())))))))),z,s(s(s(s(s(s(s(s(x)))))))),|0|())
Number of strict rules: 2
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #f(x,z,s(s(s(s(s(s(|0|())))))),z) -> #f(s(s(s(s(s(s(s(s(|0|())))))))),z,s(s(s(s(s(s(s(s(x)))))))),|0|())
   #2: #f(x,z,s(s(s(s(s(s(s(y))))))),z) -> #f(x,|0|(),s(s(y)),z)
Number of SCCs: 1, DPs: 2, edges: 3
	SCC { #1 #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