Input TRS: 1: f(g(f(x))) -> f(g(g(g(f(x))))) e1: g(x) ->= g(g(x)) [relative] e2: g(x) ->= g(g(f(g(g(x))))) [relative] e3: f(x) ->= g(g(f(g(g(x))))) [relative] Number of Rules: 1 Direct POLO(Sum) ...Direct Mat2b ... failed. Dependency Pairs: #1: # g(x) -> # g(g(f(g(g(x))))) [relative] #2: # g(x) -> # g(f(g(g(x)))) [relative] #3: # g(x) -> # f(g(g(x))) [relative] #4: # g(x) -> # g(g(x)) [relative] #5: # g(x) -> # g(x) [relative] #6: # f(x) -> # g(g(f(g(g(x))))) [relative] #7: # f(x) -> # g(f(g(g(x)))) [relative] #8: # f(x) -> # f(g(g(x))) [relative] #9: # f(x) -> # g(g(x)) [relative] #10: # f(x) -> # g(x) [relative] #11: # f(g(f(x))) -> # f(g(g(g(f(x))))) #12: # f(g(f(x))) -> # g(g(g(f(x)))) #13: # f(g(f(x))) -> # g(g(f(x))) #14: # g(x) -> # g(g(x)) [relative] #15: # g(x) -> # g(x) [relative] Number of SCCs: 1 SCC { #1..15 } POLO(Sum)... removes: #11 #12 #13 I(# g) = max(x1 - 7, 0) I(f) = 5 I(# f) = max(x1 - 1, 0) I(g) = max(x1 - 3, 0) USABLE RULES: { 4 1 3 2 } Number of SCCs: 1 SCC { #1..10 #14 #15 } POLO(Sum)... QLPOS... QWPOpS(mSum)... Mat2b... failed.