0.00/0.08 YES 0.00/0.08 Input TRS: 0.00/0.08 1: a(s(x1)) -> s(s(s(p(s(b(p(p(s(s(x1)))))))))) 0.00/0.08 2: b(s(x1)) -> s(s(s(p(p(s(s(c(p(s(p(s(x1)))))))))))) 0.00/0.08 3: c(s(x1)) -> p(s(p(s(a(p(s(p(s(x1))))))))) 0.00/0.08 4: p(p(s(x1))) -> p(x1) 0.00/0.08 5: p(s(x1)) -> x1 0.00/0.08 Number of strict rules: 5 0.00/0.08 Direct POLO(bPol) ... failed. 0.00/0.08 Uncurrying p 0.00/0.08 1: a(s(x1)) -> s(s(s(p^1_s(b(p(p^1_s(s(x1)))))))) 0.00/0.08 2: b(s(x1)) -> s(s(s(p(p^1_s(s(c(p^1_s(p^1_s(x1))))))))) 0.00/0.08 3: c(s(x1)) -> p^1_s(p^1_s(a(p^1_s(p^1_s(x1))))) 0.00/0.08 4: p(p^1_s(x1)) -> p(x1) 0.00/0.08 5: p^1_s(x1) -> x1 0.00/0.08 6: p(s(_1)) ->= p^1_s(_1) 0.00/0.08 Number of strict rules: 5 0.00/0.08 Direct POLO(bPol) ... failed. 0.00/0.08 Dependency Pairs: 0.00/0.08 #1: #b(s(x1)) -> #p(p^1_s(s(c(p^1_s(p^1_s(x1)))))) 0.00/0.08 #2: #b(s(x1)) -> #p^1_s(s(c(p^1_s(p^1_s(x1))))) 0.00/0.08 #3: #b(s(x1)) -> #c(p^1_s(p^1_s(x1))) 0.00/0.08 #4: #b(s(x1)) -> #p^1_s(p^1_s(x1)) 0.00/0.08 #5: #b(s(x1)) -> #p^1_s(x1) 0.00/0.08 #6: #p(s(_1)) ->? #p^1_s(_1) 0.00/0.08 #7: #c(s(x1)) -> #p^1_s(p^1_s(a(p^1_s(p^1_s(x1))))) 0.00/0.08 #8: #c(s(x1)) -> #p^1_s(a(p^1_s(p^1_s(x1)))) 0.00/0.08 #9: #c(s(x1)) -> #a(p^1_s(p^1_s(x1))) 0.00/0.08 #10: #c(s(x1)) -> #p^1_s(p^1_s(x1)) 0.00/0.08 #11: #c(s(x1)) -> #p^1_s(x1) 0.00/0.08 #12: #a(s(x1)) -> #p^1_s(b(p(p^1_s(s(x1))))) 0.00/0.08 #13: #a(s(x1)) -> #b(p(p^1_s(s(x1)))) 0.00/0.08 #14: #a(s(x1)) -> #p(p^1_s(s(x1))) 0.00/0.08 #15: #a(s(x1)) -> #p^1_s(s(x1)) 0.00/0.08 #16: #p(p^1_s(x1)) -> #p(x1) 0.00/0.08 Number of SCCs: 2, DPs: 4 0.00/0.08 SCC { #16 } 0.00/0.08 POLO(Sum)... succeeded. 0.00/0.08 a w: 0 0.00/0.08 s w: 0 0.00/0.08 b w: 0 0.00/0.08 #p^1_s w: 0 0.00/0.08 p^1_s w: x1 + 1 0.00/0.08 c w: 0 0.00/0.08 #p w: x1 0.00/0.08 p w: 0 0.00/0.08 #c w: 0 0.00/0.08 #a w: 0 0.00/0.08 #b w: 0 0.00/0.08 USABLE RULES: { } 0.00/0.08 Removed DPs: #16 0.00/0.08 Number of SCCs: 1, DPs: 3 0.00/0.08 SCC { #3 #9 #13 } 0.00/0.08 POLO(Sum)... succeeded. 0.00/0.08 a w: 0 0.00/0.08 s w: x1 + 4 0.00/0.08 b w: 0 0.00/0.08 #p^1_s w: 0 0.00/0.08 p^1_s w: x1 + 1 0.00/0.08 c w: 0 0.00/0.08 #p w: 0 0.00/0.08 p w: x1 0.00/0.08 #c w: x1 + 1 0.00/0.08 #a w: x1 + 2 0.00/0.08 #b w: x1 0.00/0.08 USABLE RULES: { 4..6 } 0.00/0.08 Removed DPs: #3 #9 #13 0.00/0.08 Number of SCCs: 0, DPs: 0 0.00/0.08 EOF