Input TRS:
    1: s(s(|0|())) -> f(s(|0|()))
    2: g(x) -> h(x,x)
    3: s(x) -> h(x,|0|())
    4: s(x) -> h(|0|(),x)
    5: f(g(x)) -> g(g(f(x)))
    6: g(s(x)) -> s(s(g(x)))
    7: h(f(x),g(x)) -> f(s(x))
    8: s(s(s(|0|()))) -> k(|0|())
    9: k(|0|()) -> s(|0|())
    10: s(s(s(s(|0|())))) -> k(s(|0|()))
    11: k(s(|0|())) -> s(s(|0|()))
    12: s(s(s(s(s(s(s(s(s(s(s(|0|()))))))))))) -> k(s(s(|0|())))
    13: k(s(s(|0|()))) -> s(s(s(s(s(s(s(s(s(|0|())))))))))
    14: h(k(x),g(x)) -> k(s(x))
Number of strict rules: 14
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #g(x) -> #h(x,x)
   #2: #g(s(x)) -> #s(s(g(x)))
   #3: #g(s(x)) -> #s(g(x))
   #4: #g(s(x)) -> #g(x)
   #5: #k(s(s(|0|()))) -> #s(s(s(s(s(s(s(s(s(|0|())))))))))
   #6: #k(s(s(|0|()))) -> #s(s(s(s(s(s(s(s(|0|()))))))))
   #7: #k(s(s(|0|()))) -> #s(s(s(s(s(s(s(|0|())))))))
   #8: #k(s(s(|0|()))) -> #s(s(s(s(s(s(|0|()))))))
   #9: #k(s(s(|0|()))) -> #s(s(s(s(s(|0|())))))
   #10: #k(s(s(|0|()))) -> #s(s(s(s(|0|()))))
   #11: #k(s(s(|0|()))) -> #s(s(s(|0|())))
   #12: #k(|0|()) -> #s(|0|())
   #13: #k(s(|0|())) -> #s(s(|0|()))
   #14: #s(s(s(s(s(s(s(s(s(s(s(|0|()))))))))))) -> #k(s(s(|0|())))
   #15: #h(k(x),g(x)) -> #k(s(x))
   #16: #h(k(x),g(x)) -> #s(x)
   #17: #h(f(x),g(x)) -> #f(s(x))
   #18: #h(f(x),g(x)) -> #s(x)
   #19: #s(s(s(s(|0|())))) -> #k(s(|0|()))
   #20: #f(g(x)) -> #g(g(f(x)))
   #21: #f(g(x)) -> #g(f(x))
   #22: #f(g(x)) -> #f(x)
   #23: #s(x) -> #h(x,|0|())
   #24: #s(s(|0|())) -> #f(s(|0|()))
   #25: #s(s(s(|0|()))) -> #k(|0|())
   #26: #s(x) -> #h(|0|(),x)
Number of SCCs: 2, DPs: 2, edges: 2
	SCC { #4 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   |0|()	weight: 0
     h(x1,x2)	weight: 0
     s(x1)	weight: (/ 1 2) + x1
     k(x1)	weight: 0
     f(x1)	weight: 0
   #h(x1,x2)	weight: 0
   #k(x1)	weight: 0
   #s(x1)	weight: 0
   #f(x1)	weight: 0
   #g(x1)	weight: x1
     g(x1)	weight: 0
    Usable rules: { }
    Removed DPs: #4
Number of SCCs: 1, DPs: 1, edges: 1
	SCC { #22 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   |0|()	weight: 0
     h(x1,x2)	weight: 0
     s(x1)	weight: (/ 1 2)
     k(x1)	weight: 0
     f(x1)	weight: 0
   #h(x1,x2)	weight: 0
   #k(x1)	weight: 0
   #s(x1)	weight: 0
   #f(x1)	weight: x1
   #g(x1)	weight: 0
     g(x1)	weight: (/ 1 2) + x1
    Usable rules: { }
    Removed DPs: #22
Number of SCCs: 0, DPs: 0, edges: 0
YES