0.00/0.21 MAYBE 0.00/0.21 Input TRS: 0.00/0.21 1: p(0(x1)) -> s(s(0(s(s(p(x1)))))) 0.00/0.21 2: p(s(0(x1))) -> 0(x1) 0.00/0.21 3: p(s(s(x1))) -> s(p(s(x1))) 0.00/0.21 4: f(s(x1)) -> g(q(i(x1))) 0.00/0.21 5: g(x1) -> f(p(p(x1))) 0.00/0.21 6: q(i(x1)) -> q(s(x1)) 0.00/0.21 7: q(s(x1)) -> s(s(x1)) 0.00/0.21 8: i(x1) -> s(x1) 0.00/0.21 Number of strict rules: 8 0.00/0.21 Direct POLO(bPol) ... failed. 0.00/0.21 Uncurrying p 0.00/0.21 1: p^1_0(x1) -> s(s(0(s(s(p(x1)))))) 0.00/0.21 2: p^1_s(0(x1)) -> 0(x1) 0.00/0.21 3: p^1_s(s(x1)) -> s(p^1_s(x1)) 0.00/0.21 4: f(s(x1)) -> g(q(i(x1))) 0.00/0.21 5: g(x1) -> f(p(p(x1))) 0.00/0.21 6: q(i(x1)) -> q(s(x1)) 0.00/0.21 7: q(s(x1)) -> s(s(x1)) 0.00/0.21 8: i(x1) -> s(x1) 0.00/0.21 9: p(0(_1)) ->= p^1_0(_1) 0.00/0.21 10: p(s(_1)) ->= p^1_s(_1) 0.00/0.21 Number of strict rules: 8 0.00/0.21 Direct POLO(bPol) ... failed. 0.00/0.21 Dependency Pairs: 0.00/0.21 #1: #q(i(x1)) -> #q(s(x1)) 0.00/0.21 #2: #p(0(_1)) ->? #p^1_0(_1) 0.00/0.21 #3: #p(s(_1)) ->? #p^1_s(_1) 0.00/0.21 #4: #g(x1) -> #f(p(p(x1))) 0.00/0.21 #5: #g(x1) -> #p(p(x1)) 0.00/0.21 #6: #g(x1) -> #p(x1) 0.00/0.21 #7: #p^1_s(s(x1)) -> #p^1_s(x1) 0.00/0.21 #8: #p^1_0(x1) -> #p(x1) 0.00/0.21 #9: #f(s(x1)) -> #g(q(i(x1))) 0.00/0.21 #10: #f(s(x1)) -> #q(i(x1)) 0.00/0.21 #11: #f(s(x1)) -> #i(x1) 0.00/0.21 Number of SCCs: 3, DPs: 5 0.00/0.21 SCC { #7 } 0.00/0.21 POLO(Sum)... succeeded. 0.00/0.21 q w: 0 0.00/0.21 s w: x1 + 1 0.00/0.21 #p^1_0 w: 0 0.00/0.21 #p^1_s w: x1 0.00/0.21 p^1_0 w: 0 0.00/0.21 p^1_s w: 0 0.00/0.21 #p w: 0 0.00/0.21 f w: 0 0.00/0.21 p w: 0 0.00/0.21 0 w: 0 0.00/0.21 #f w: 0 0.00/0.21 #g w: 0 0.00/0.21 i w: 0 0.00/0.21 #q w: 0 0.00/0.21 g w: 0 0.00/0.21 #i w: 0 0.00/0.21 USABLE RULES: { } 0.00/0.21 Removed DPs: #7 0.00/0.21 Number of SCCs: 2, DPs: 4 0.00/0.21 SCC { #2 #8 } 0.00/0.21 POLO(Sum)... succeeded. 0.00/0.21 q w: 0 0.00/0.21 s w: 1 0.00/0.21 #p^1_0 w: x1 + 1 0.00/0.21 #p^1_s w: 0 0.00/0.21 p^1_0 w: 0 0.00/0.21 p^1_s w: 0 0.00/0.21 #p w: x1 0.00/0.21 f w: 0 0.00/0.21 p w: 0 0.00/0.21 0 w: x1 + 2 0.00/0.21 #f w: 0 0.00/0.21 #g w: 0 0.00/0.21 i w: 0 0.00/0.21 #q w: 0 0.00/0.21 g w: 0 0.00/0.21 #i w: 0 0.00/0.21 USABLE RULES: { } 0.00/0.21 Removed DPs: #2 #8 0.00/0.21 Number of SCCs: 1, DPs: 2 0.00/0.21 SCC { #4 #9 } 0.00/0.21 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed. 0.00/0.21 Finding a loop... failed. 0.00/0.21 EOF